Ángel Plaza de la Hoz

Problemas y soluciones



CATEGORIAS:


Soluciones publicadas

Problemas propuestos



2022




416. The sum of a series involving balancing numbers. Solution to Problem H-871, The Fibonacci Quarterly, 60 (3) (2022) 288.

415. Iterated Radical of the Cubes of Fibonacci/Lucas Numbers. Solution to Problem B-1293, The Fibonacci Quarterly, 60 (3) (2022) 277-278.

414. Proposed problem B-1312, The Fibonacci Quarterly, 60 (3) (2022) 274.

413. A limit with $n$th roots of products of Fibonacci and Lucas numbers. Solution to Problem H-865, The Fibonacci Quarterly, 60 (2) (2022) 192.

412. Sums of generalized Fibonacci and Lucas numbers. Solution to Problem H-862, The Fibonacci Quarterly, 60 (2) (2022) 189-190.

411. Proposed Problem to Jozsef Wildt Problems W51, XXXIIth Edition, 2022.

410. Solution to problem 5675, School Science and Mathematics, May (2022) 13.

409. Solution to problem 5674, School Science and Mathematics, May (2022) 7-9.

408. Solution to problem 5673, School Science and Mathematics, May (2022) 2-4.

407. Proposed problem 1218, The College Mathematics Journal, 53 (1) (2022) 70.

406. Solution to problem 5658, School Science and Mathematics, February (2022) 23.

405. Solution to problem 5656, School Science and Mathematics, February (2022) 10-12.

404. The generating function of the product of the Fibonacci and Tribonacci numbers. Solution to Problem H-855, The Fibonacci Quarterly, 60 (1) (2022) 92-93.

403. A Consequence of the Minkowski Inequality. Solution to Problem B-1281, The Fibonacci Quarterly, 60 (1) (2022) 84-85.


2021




402. Solution to problem 868. The Pentagon Journal, 80 (2) (2020) 53-54.

401. Proposed problem 5663, School Science and Mathematics, December 2021, 1.

400. Power-preserving continuous maps. Solution to problem 2129, Mathematics Magazine, 94 (5), 390-398. (con F. Perdomo)

399. Solution to Quickie Q70, Revista Sclipirea Mintii, nr. 28, (2021) 55.

398. Solution to Quickie Q68, Revista Sclipirea Mintii, nr. 28, (2021) 54.

397. Lower bounds for some sums involving Lucas numbers. Solution to problem H-853, The Fibonacci Quarterly, 59 (4) (2021) 379-380. (con S. Falcón)

396. Solution to problem U561. Mathematical Reflections, num. 4 (2021) p. 15.

395. Solution to problem 5639, School Science and Mathematics, November 2021, 16-17.

394. Solution to problem 5638, School Science and Mathematics, November 2021, 10-11.

393. Quickie 1114, Mathematics Magazine, 94(4) October 2021, 309, 318.

392. Solution to problem 5633, School Science and Mathematics, October 2021, 4-8.

391. Proposed problem 5650, School Science and Mathematics, October 2021, 1.

390. Solution to problem 5628, School Science and Mathematics, May (2021) 10-11.

389. Identities with generalized-balancing numbers. Solution to Problem H-844, The Fibonacci Quarterly, 59 (3) (2021) 281-282.

388. Proposed problem H-880, The Fibonacci Quarterly, 59 (3) (2021) 280. (con S. Falcón)

387. Proposed problem B-1294, The Fibonacci Quarterly, 59 (3) (2021) 274. (con J.L. Díaz-Barrero)

386. Proposed problem U561. Mathematical Reflections, num. 4 (2021) p. 3.

385. Solution to problem A-87. Arhimede Mathematical Journal, 8 (1) (2021) 137-138.

384. Solution to Problem 393, Gaceta de la RSME, Vol. 24 (2021), Núm. 2, 327329.

383. Solution to problem 4597, Crux Mathematicorum, Vol. 47(5), May 2021, 267-268.

382. A series with k-Fibonacci hyperbolic tangent terms, Solution to Problem H-839, The Fibonacci Quarterly, 59 (2) (2021) 186-187. (con S. Falcón)

381. Prove It in Any Way You Like, Solution to Problem B-1268, The Fibonacci Quarterly, 59 (2) (2021) 180-182.

380. Solution to problem 5628, School Science and Mathematics, May (2021) 10-11.

379. Solution to Quickie Q64, Revista Sclipirea Mintii, nr. 27, (2021) 46-47.

378. Solution to Quickie Q63, Revista Sclipirea Mintii, nr. 27, (2021) 45-46.

377. Solution to problem 5623, School Science and Mathematics, April (2021) 24-27.

376. Closed formulas for some sums of products of balancing numbers, Solution to Problem H-834, The Fibonacci Quarterly, 59 (1) (2021) 90-91.

375. Proposed problem B-1284, The Fibonacci Quarterly, 59 (1) (2021) 83.

374. Solution to problem 4559, Crux Mathematicorum, Vol. 47(1), January 2021, 63.


2020




373. Proposed problem 877. The Pentagon Journal, Fall 2020, 2.

372. Proposed problem 1188, The College Mathematics Journal, 55 (5) (2020) 386.

371. Solution to Problem U524, Mathematical Reflections 4 (2020) 16.

370. Solution to Quickie Q62, Revista Sclipirea Mintii, nr. 26, (2020) 49.

369. Solution to Quickie Q60, Revista Sclipirea Mintii, nr. 26, (2020) 47-48.

368. Solution to problem 5598, School Science and Mathematics, December (2020) 9-10.

367. Proposed problem H-866, The Fibonacci Quarterly, 58 (4) (2020) 375.

366. Proposed problem 5609, School Science and Mathematics, November (2020) 1.

365. Problema propuesto 402, Gaceta de la RSME, 23 (3) (2020) 535.

364. Proposed problem H-862, The Fibonacci Quarterly, 58 (3) (2020) 282.

363. Convergent or divergent?, Solution to Problem 1156, The College Mathematics Journal, 51 (4) (2020) 307-308.

362. Solution to Problem U518, Mathematical Reflections 3 (2020) 14.

361. Solution to problem S514, Mathematical Reflections 2 (2020) 14-15.

360. Proposed problem B-1268, The Fibonacci Quarterly, 58 (12) (2020) 179.

359. Solution to problem 5576, School Science and Mathematics, April (2020) 16.

358. Solution to problem 5573, School Science and Mathematics, April (2020) 8-10.

357. Solution to problem 5570, School Science and Mathematics, March (2020) 24.

356. Solution to problem 5569, School Science and Mathematics, March (2020) 15.

355. Proposed problem H-853, The Fibonacci Quarterly, 58 (1) (2020) 90. (con S. Falcón)

354. The Sum of Multiples of Cubes of Lucas Numbers, Solution to problem B-1245,The Fibonacci Quarterly, 58 (1) (2020) 88.

353. Solution to problem 5563, School Science and Mathematics, 2, February (2020) 22.

352. Proposed problem J510, Mathematical Reflections 1 (2020) 1.

351. Solution to problem 4480, Crux Mathematicorum, Vol. 46(1), January 2020, 46.


2019




350. Solution to problem 839. The Pentagon Journal, 79 (1) (2019) 39.

349. Solution to problem 482, Gazeta Matematica Seria A, Vol. XXXVII (CXVI), No. 3-4 (2019) 41-43.

348. Solution to problem 4450, Crux Mathematicorum, Vol. 45(10), December 2019, 582-583.

347. Solution to problem 4444, Crux Mathematicorum, Vol. 45(10), December 2019, 573-574.

346. An Easy Consequence of Radon's Inequality, Solution to Problem B-1236, The Fibonacci Quarterly, 57 (4) (2019) 368-369.

345. Proposed problem B-1259, The Fibonacci Quarterly, 57 (4) (2019) 368. (con S. Falcón)

344. Solution to problem 5546, School Science and Mathematics, November (2019) 17-18.

343. Solution to problem 5542, School Science and Mathematics, November (2019) 5-6.

342. Solution to problem A-61. Arhimede Mathematical Journal, 6 (1) (2019) 104-105.

341. Solution to problem EM-61. Arhimede Mathematical Journal, 6 (1) (2019) 76.

340. Solution to problem E-61. Arhimede Mathematical Journal, 6 (1) (2019) 63.

339. Proposed Problem to Math Horizons, Vol. 27 No.1, September 2019, 31.

338. Proposed Problem to Jozsef Wildt Problems W19, Octogon Mathem. Magazine, Vol. 27 No.1, April 2019, 441.

337. Proposed Problem to Jozsef Wildt Problems W17, Octogon Mathem. Magazine, Vol. 27 No.1, April 2019, 441.

336. Proposed Problem to Jozsef Wildt Problems W1, Octogon Mathem. Magazine, Vol. 27 No.1, April 2019, 438.

335. Proposed problem 1160, The College Mathematics Journal, 50 (4) (2019) 302. (con P.J. Rodíguez de Rivera)

334. Proposed problem 5556, School Science and Mathematics, October (2019) 1. (con P.J. Rodíguez de Rivera)

333. Solution to problem 4410, Crux Mathematicorum, Vol. 45(7), September 2019, 428-429.

332. Evaluating the sum of a series of reciprocals, Solution to problem H-810,The Fibonacci Quarterly, 57 (3) (2019) 284.

331. Proposed problem B-1251, The Fibonacci Quarterly, 57 (3) (2019) 273.

330. Propoposed Problem U492, Mathematical Reflections 4 (2019) pag 3.

329. Solution to problem U477, Mathematical Reflections 2 (2019) 15.

328. An application of Jensen’s inequality, Solution to problem H-805,The Fibonacci Quarterly, 57 (2) (2019) 185.

327. Proposed problem H-839, The Fibonacci Quarterly, 57 (2) (2019) 184. (con S. Falcón)

326. Proposed problem H-838, The Fibonacci Quarterly, 57 (2) (2019) 184. (con S. Falcón)

325. Proposed problem B-1250, The Fibonacci Quarterly, 57 (2) (2019) 177.

324. Proposed problem B-1248, The Fibonacci Quarterly, 57 (2) (2019) 177.

323. Proposed problem 5550, School Science and Mathematics, May (2019) 1.

322. Proposed problem 12110, The American Mathematical Monthly, 126 (4) (2019) 371. (con P.J. Rodíguez de Rivera)

321. Solution to problem CC324, Crux Mathematicorum, Vol. 45(3), March 2019, 111-112.

320. Solution to problem J472, Mathematical Reflections 1 (2019) 4.

319. Solution to problem CC313, Crux Mathematicorum, Vol. 45(2), February 2019, 59. (con C. Moreno)

318. Solution to problem CC311, Crux Mathematicorum, Vol. 45(2), February 2019, 58.

317. Proposed problem U479, Mathematical Reflections 2 (2019) 3.

316. Proposed problem J476, Mathematical Reflections 2 (2019) 1.

315. Solution to problem 4309,Crux Mathematicorum, Vol. 45(1), January 2019, 47-48.

314. Solution to problem CC310,Crux Mathematicorum, Vol. 45(1), January 2019, 12 (con M. Mateo).

313. Solution to problem CC308,Crux Mathematicorum, Vol. 45(1), January 2019, 10-11.

312. The area of a polygon with Lucas number coordinates, Solution to problem H-803,The Fibonacci Quarterly, 57 (1) (2019) 93-94.

311. Proposed problem B-1243, The Fibonacci Quarterly, 57 (1) (2019) 82.

310. Proposed problem 361, Gaceta de la RSME, Volume 22. No. 1, 2019, 117-118. (con J.L. Díaz Barrero)

309. Solution to problem 5515, School Science and Mathematics, February (2019) 10-12.

308. Proposed problem U469, Mathematical Reflections 1 (2019) 3.


2018




307. Solution to problem 813. The Pentagon Journal, 78 (1) (2018) 29.

306. Solution to problem PP26317, Octogon Mathem. Magazine, Vol. 26 No.2, October 2018, 1161.

305. Solution to problem PP26298, Octogon Mathem. Magazine, Vol. 26 No.2, October 2018, 1160.

304. Solution to problem W26, Octogon Mathem. Magazine, Vol. 26 No.2, October 2018, 760-761.

303. Solution to problem W25, Octogon Mathem. Magazine, Vol. 26 No.2, October 2018, 760.

302. Solution to problem W24, Octogon Mathem. Magazine, Vol. 26 No.2, October 2018, 759-760.

301. Solution to problem CC-297, Crux Mathematicorum, 44 (10) (2018) 409-410. (con C. Moreno)

300. Solution to problem A-56. Arhimede Mathematical Journal, 5 (2) (2018) 180-182. (con S. Falcón)

298-9. Proposed Problems PP27711 y PP27712, Octogon Mathem. Magazine, Vol. 26 No.1, April (2018) 348.

297. Proposed Problem PP27469, Octogon Mathem. Magazine, Vol. 26 No.1, April (2018) 316. (con S. Falcón)

296. Solution to Quickie Q42, Revista Sclipirea Mintii, nr. 22, (2018) 50.

295. Solution to Quickie Q41, Revista Sclipirea Mintii, nr. 22, (2018) 50.

294. Proposed problem H-829, The Fibonacci Quarterly, 56 (4) (2018) 373. (con F. Perdomo)

293. An Inequality with a Cyclic Sum, Solution to Problem B-1219, The Fibonacci Quarterly, 56 (4) (2018) 371-372.

292. Another Application of the AM-GM Inequality, Solution to Problem B-1216, The Fibonacci Quarterly, 56 (4) (2018) 367-368.

291. Proposed problem B-1238, The Fibonacci Quarterly, 56 (4) (2018) 367.

290. Solution to problem 800. The Pentagon Journal, 77 (2) (2018) 31-32.

289. Solution to problem 5504, School Science and Mathematics, December (2018) 12-14.

288. Proposed problem 5520, School Science and Mathematics, December (2018) 2. (con R. León)

287. Proposed problem 354, Gaceta de la RSME, Volume 21. No. 3, 2018, 544. (con F. Perdomo)

286. Proposed problem 5512, School Science and Mathematics, November (2018) 1.

285. Proposed problem 2051, Mathematics Magazine, 91 (4) (2018) 310.

284. Solution to problem O453, Mathematical Reflections 4 (2018) 26.

283. Solution to problem 4267, Crux Mathematicorum, 44 (7) (2018) 311-312.

282. Proposed problem U460, Mathematical Reflections 5 (2018) 3.

281. Solution to problem 79.3, Irish Math. Soc. Bulletin, Number 81, Summer 2018, 103.

280. Sums of arc-tangents, Solution to Problem H-795, The Fibonacci Quarterly, 56 (3) (2018) 287.

279. An upper bound for a sum of cubic roots, Solution to Problem H-794, The Fibonacci Quarterly, 56 (3) (2018) 286-287.

278. A Problem with Many Solutions, Solution to Problem B-1211, The Fibonacci Quarterly, 56 (3) (2018) 277-279. (con D. Galante)

277. Solution to problem 461, Gazeta Matematica Seria A, Vol. XXXVI (CXV), No. 1-2 (2018) 56. (con F. Perdomo)

274-6. Proposed Problems to Jozsef Wildt Problems W24, W25, W26, Octogon Mathem. Magazine, Vol. 26 No.1, April 2018.

273. Solution to problem E-50. Arhimede Mathematical Journal, 5 (1) (2018) 61-63. (con D. Suárez)

272. Solution to problem E-47. Arhimede Mathematical Journal, 5 (1) (2018) 55. (con A. Trujillo)

271. Proposed problem A-56. Arhimede Mathematical Journal, 5 (1) (2018) 33. (con S. Falcón)

270. A Telescoping Series with Inverse Hyperbolic Sine, Solution to Problem 11930, The American Mathematical Monthly, 125 (6) (2018) 568-569.

269. Some cyclic inequalities, Solution to Problem H-789, The Fibonacci Quarterly, 56 (2) (2018) 189-190.

268. Proposed problem B-1205, The Fibonacci Quarterly, 56 (2) (2018) 177. (con S. Falcón)

267. Solution to problem 4232, Crux Mathematicorum, 44 (4) (2018) 166-167.

266. Solution to problem 5486, School Science and Mathematics, May (2018) 14.

265. Solution to problem CC262, Crux Mathematicorum, 44 (3) (2018) 95-97.

264. Solution to problem 5479, School Science and Mathematics, April (2018) 14-16.

263. Proposed problem S444, Mathematical Reflections 2 (2018) 2.

262. Proposed problem 12032, The American Mathematical Monthly, 125 (3) (2018) 277. (con D. Galante)

261. Proposed problem 1124, The College Mathematics Journal, 49 (2) (2018) 141. (con J. Hernández)

260. Proposed problem 340, Gaceta de la RSME, Volume 21. No. 1, 2018, 110

259. Closed forms for sums of series involving reciprocals of shifted Fibonacci squares, Solution to Problem H-783, The Fibonacci Quarterly, 56 (1) (2018) 90-91.

258. Power-Mean and Jensen's Inequalities, Solution to Problem B-1205, The Fibonacci Quarterly, 56 (1) (2018) 87-88.

257. Solution to problem 5459, School Science and Mathematics, January (2018) 7-11.


2017



256. Solution to problem J432, Mathematical Reflections 6 (2017) 6.

255. Solution to problem A-46. Arhimede Mathematical Journal, 4 (2) (2017) 164-165.

254. Solution to problem EM-46. Arhimede Mathematical Journal, 4 (2) (2017) 145-147.

253. Proposed problem MH-52. Arhimede Mathematical Journal, 4 (2) (2017) 103. (con S. Falcón)

252. Solution to problem 786. The Pentagon Journal, 76 (2) (2017) 37-38.

251. Solution to problem 78.3, Irish Math. Soc. Bulletin, Number 80, Winter 2017, 90-91.

250. Solution to problem 78.1, Irish Math. Soc. Bulletin, Number 80, Winter 2017, 88-89.

249. Solution to problem 11887, The Smallest Rings with Exactly Five Ideals. The American Matematical Monthly, 124, 10, (2017) 976. (con F. Perdomo)

248. Solution to problem 5453, School Science and Mathematics, December (2017) 6-9.

247. Proposed problem 5472, School Science and Mathematics, December (2017) 1. (con F. Perdomo)

246. An Infinite Sum of Arctangent, Solution to Problem B-1198, The Fibonacci Quarterly, 55 (4) (2017) 370-371.

245. Symmetric Functions, Solution to Problem B-1196, The Fibonacci Quarterly, 55 (4) (2017) 368-369.

244. Proposed problem 334, Gaceta de la RSME, Volume 20. No. 3, 2017, 564

243. Proposed problem 27047, Octogon Mathematical Magazine, Volume 25. No. 1 April, 2017, 343

242. Proposed problem 27046, Octogon Mathematical Magazine, Volume 25. No. 1 April, 2017, 343

241. Proposed problem 27045, Octogon Mathematical Magazine, Volume 25. No. 1 April, 2017, 343.

240. Solution to problem 5450, School Science and Mathematics, November (2017) 12-14.

239. Solution to problem 5442, School Science and Mathematics, October (2017) 7-9.

238. Proposed problem 5460, School Science and Mathematics, October (2017) 2.

237. Solution to problem 350, Math Horizons, 25 (1) (2017) 29.

236. Proposed problem H-811, The Fibonacci Quarterly, 55 (3) (2017) 277.

235. Proposed problem H-810, The Fibonacci Quarterly, 55 (3) (2017) 277.

234. Proposed problem B-1215, The Fibonacci Quarterly, 55 (3) (2017) 277. (con S. Falcón)

233. Solution to problem 446, Gazeta Matematica Seria A, Vol. XXXV (CXIV) No. 1-2 (2017) 47-48. (con F. Perdomo)

232. Solution to problem 440, Gazeta Matematica Seria A, Vol. XXXV (CXIV) No. 1-2 (2017) 37-39. (con F. Perdomo)

231. Solution to problem MH-38. Arhimede Mathematical Journal, 4 (1) (2017) 61-62.

230. Proposed problem EM-46. Arhimede Mathematical Journal, 4 (1) (2017) 19.

229. Solution to problem J408, Mathematical Reflections 2 (2017) 6-7.

228. Solution to problem 282, Revista Escolar de la Olimpiada Iberoamericana de Matemática, 57 (2017).

227. Solution to problem CC230, Crux Mathematicorum, 43 (6) (2017) 245.

226. Solution to Puzzle Corner 46, Gazette of the Australian Mathematical Society, 44 (2) (2017) 80.

225. Solution to problem CC222, Crux Mathematicorum, 43 (5) (2017) 190-191.

224. Proposed problem W18, József Wildt International Mathematical Competition (2017).

223. Solution to Problem 98, Mathproblems, 6 (1) (2016) 541-542. (con J. Spahr)

222. Solution to Problem 95, Mathproblems, 6 (1) (2016) 537-538.

221. Solution to Problem 142, Mathproblems, 6 (1) (2016) 530-531.

220. Proposed problem 1105, The College Mathematics Journal, 48 (3) (2017) 220.

219. Solution to Quickie Q29, Revista Sclipirea Mintii, nr. 19, (2017) 48-49.

218. Solution to problem 4122, Crux Mathematicorum, 43 (3) (2017).

217. An Integral with the Gamma Function and Fibonacci Numbers, Solution to Problem H-771, The Fibonacci Quarterly, 55 (2) (2017) 185-186.

216. A Cyclic Sum, Solution to Problem B-1190, The Fibonacci Quarterly, 55 (2) (2017) 182-183.

215. A Telescoping Lucas Sum, Solution to Problem B-1186, The Fibonacci Quarterly, 55 (2) (2017) 179-180.

214. Solution to problem CC209, Crux Mathematicorum, 43 (2) (2017) 47-48.

213. Solution to problem CC206, Crux Mathematicorum, 43 (2) (2017) 45-46.

212. Solution to problem 5429, School Science and Mathematics, April (2017) 7-10.

211. Proposed problem 5448. School Science and Mathematics, 117 (4) (2017). (con Y. Barrios)

210. A Cyclic Sum Inequality, Solution to Problem H-769, The Fibonacci Quarterly, 55 (1) (2017) 93-94.

209. Proposed problem H-806, The Fibonacci Quarterly, 55 (1) (2017) 89.


2016



208. Solution to problem 764. The Pentagon Journal, 75 (2) (2016) 22.

207. Proposed problem 78.1., Irish Math. Soc. Bulletin, 78, Winter 2016, 101.

206. Solution to problem EM-34. Arhimede Mathematical Journal, 3 (2) (2016) 146.

205. Solution to problem E-29. Arhimede Mathematical Journal, 3 (2) (2016) 127.

204. Proposed problem 2007, Mathematics Magazine, 89 (5) (2016) 378.

203. Solution to problem S388, Mathematical Reflections 5 (2016) 10.

202. Cauchy-Shwarz to the Rescue, Solution to Problem H-765, The Fibonacci Quarterly, 54 (4) (2016) 377-378.

201. Proposed problem B-1199, The Fibonacci Quarterly, 54 (4) (2016) 367. (con S. Falcón)

200. Proposed problem 1089, The College Mathematics Journal, 47 (5) (2016) 370.

199. Solution to problem 752. The Pentagon Journal, 75 (1) (2015) 51.

198. Solution to Quickie Q25, Revista Sclipirea Mintii, nr. 18, (2016) 50.

197. Solution to problem CC172, Crux Mathematicorum, 42 (5) (2016) 200. (con L. Ma Li)

196. Solution to problem 5402, School Science and Mathematics, November (2016) 14.

195. Solution to problem 5401, School Science and Mathematics, November (2016) 10.

194. Solution to problem 4039, Crux Mathematicorum, 42 (4) (2016) 179.

193. Proposed problem 4139, Crux Mathematicorum, 42 (4) (2016) 173,175.

192. Solution to problem 336, Math Horizons, 24 (1) (2016) 31-32. (con L. Ma Li)

191. Proposed problem 11933, The American Mathematical Monthly, 123 (8) (2016) 832. (con J.M. Pacheco)

190. Proposed quikie 1064, Mathematics Magazine, 89 (4) (2016) 294,300. (con J.M. Pacheco)

189. Proposed problem U385, Mathematical Reflections, 5 (2016) 3.

188. Proposed problem 57, Mathproblems, 5 (4) (2015) 507.

187. Solution to Problem 135, Mathproblems, 5 (4) (2015) 489-491.

186. Based on the AM-GM or PM Inequality. Solution to Problem B-1175, The Fibonacci Quarterly, 54 (3) (2016) 278-279.

185. By Induction. Solution to Problem B-1173, The Fibonacci Quarterly, 54 (3) (2016) 276-277.

184. Solution to problem 744. The Pentagon Journal, 74 (2) (2015) 24-25.

183. Solution to problem 4007. Crux Mathematicorum, 42 (1) (2016) 38.

182. Solution to problem MH-25. Arhimede Mathematical Journal, 3 (1) (2016) 61-62.

181. Solution to problem MH-23. Arhimede Mathematical Journal, 3 (1) (2016) 58.

180. Solution to problem EM-27. Arhimede Mathematical Journal, 3 (1) (2016) 54.

179. Solution to problem E-28. Arhimede Mathematical Journal, 3 (1) (2016) 43. (con L. Ma Li)

178. Solution to problem E-26. Arhimede Mathematical Journal, 3 (1) (2016) 30-40. (con L. Ma Li)

177. Solution to problem E-24. Arhimede Mathematical Journal, 3 (1) (2016) 36.

176. Solution to problem EM-23. Arhimede Mathematical Journal, 3 (1) (2016) 33-34.

175. Proposed problem EM-32. Arhimede Mathematical Journal, 3 (1) (2016) 18.

174. Solution to Problem 130, Mathproblems, 5 (3) (2015) 460-461. (con J.M. Pacheco)

173. Commuting matrices, Solution to Problem 1049, The College Mathematics Journal, 47 (2) (2016) 142-143. (con F. Perdomo)

172. Proposed problem 11920, The American Mathematical Monthly, 123 (6) (2016) 614. (con S. Falcón)

171. Limits of Factorials and Tangents at Exponents Involving Fibonacci Numbers, Solution to Problem H-758, The Fibonacci Quarterly, 54 (2) (2016) 191-192.

170. Limits of Radicals Equality. Solution to Problem B-1170, The Fibonacci Quarterly, 54 (2) (2016) 183-184. (con F. Perdomo)

169. Proposed problem B-1189, The Fibonacci Quarterly, 54 (2) (2016) 179.

168. Solution to Problem 330, Math Horizons, 23 (4) (2016) 32.

167. Solution to Problem OC193, Crux Mathematicorum, 41 (9) (2015) 380-381.

166. Solución al Problema 3, Revista Escolar de la Olimpíada Iberoamericana de Matemática Número 55 (junio – septiembre 2016) 23. (con L. Ma Li)

163-5. Proposed Jozsef Wildt Problems W27, W28 and W29.

162. Proposed problem J368, Mathematical Reflections 2 (2016) 1.

161. Proposed problem 1069, The College Mathematics Journal, 47 (1) (2016) 61.

160. Solution to Problem 3951, Crux Mathematicorum, 41 (6) (2015) 264-265. (con F. Perdomo)

159. Solution to problem 5383, School Science and Mathematics, April (2016) 9-10.

158. Solution to problem 5381, School Science and Mathematics, April (2016) 1-7.

157. Proposed problem 5399. School Science and Mathematics, 116 (4) (2016).

156. Proposed problem MH-25. Arhimede Mathematical Journal, 2 (2) (2015) 101.

155. Proposed problem 5394. School Science and Mathematics, 116 (3) (2016).

154. Proposed problem 11892, The American Mathematical Monthly, 123 (2) (2016) 198. (con F. Perdomo)

153. Cauchy-Schwartz to the Rescue, Solution to Problem H-755, The Fibonacci Quarterly, 54 (1) (2016) 92.

152. Sums of Products of Fibonacci Numbers and Binomial Coefficients, Solution to Problem H-752, The Fibonacci Quarterly, 54 (1) (2016) 88.

151. Proposed problem B-1183, The Fibonacci Quarterly, 54 (1) (2016) 81.

150. Solution to Problem 47.9, Mathematical Spectrum, 48 (2) (2016) 94. (con L. Ma Li)

149. Proposed problem 5382. School Science and Mathematics, 116 (1) (2016) 65.

148. Solution to problem A-21. Arhimede Mathematical Journal, 2 (2) (2015) 163-164.


2015



147. Solution to Problem 3937, Crux Mathematicorum, 41 (4) (2015) 182. (con F. Perdomo)

146. Solution to problem 74.3, Irish Math. Soc. Bulletin, Number 76, Winter 2015, 93-94.

145. Solution to problem 414, Gazeta Matematica Seria A, Vol. XXXII (CXII) No. 1-2 (2015) 59-61.

144. Solution to problem 406, Gazeta Matematica Seria A, Vol. XXXII (CXII) No. 1-2 (2015) 48-49.

143. Solution to Problem 3916, Crux Mathematicorum, 41 (2) (2015) 83-84.

142. Proposed problem 1976. Mathematics Magazine, 88 (4) (2015) 285.

141. Solution to Problem 110, Mathproblems, 5 (1) (2015) 371-372.

140. Solution to Problem 3908, Crux Mathematicorum, 41 (1) (2015) 39-40.

139. Solution to Problem CC103, Crux Mathematicorum, 41 (1) (2015) 6-7.

138. Solution to problem 5358, School Science and Mathematics, December (2015) 7.

137. Identities With Sums of Ratios of Fibonacci Numbers and Products of Them, Solution to Problem H-749, The Fibonacci Quarterly, 53 (4) (2015) 375-376.

136. Some Nesbitt Type Inequalities With Fibonacci and Lucas Numbers, Solution to Problem H-748, The Fibonacci Quarterly, 53 (4) (2015) 374.

135. Proposed problem B-1177, The Fibonacci Quarterly, 53 (4) (2015) 365. (con S. Falcón)

134. Solution to problem MC-1, Octogon Mathematical Magazine, Math Competition Corner, 2012-2, 628. (con J.G. Alonso)

133. Solution to problem 312, Math Horizons, 22(3), 32-32.

132. Solution to problem 310, Math Horizons, 22(3), 31-31.

131. Solution to problem MC-14, Octogon Mathematical Magazine, Math Competition Corner, 2012-2, 644-645.

130. Solution to problem MC-20, Octogon Mathematical Magazine, Math Competition Corner, 2012-2, 651. (con J.G. Alonso)

129. Solution to problem 5352, School Science and Mathematics, November (2015) 10.

128. Proposed problem 5370, School Science and Mathematics, November (2015) 1.

127. Proposed problem 3990, Crux Mathematicorum, 40 (9) (2014) 392,394.

126. Solution to problem 5347, School Science and Mathematics, October (2015) 14.

125. Proposed problem 5364, School Science and Mathematics, October (2015) 2.

124. Solución al Problema 259, Revista Escolar de la Olimpíada Iberoamericana de Matemática Número 53 (julio – diciembre 2015) 23.

123. A Closded Form for an Infinite Sum, Solution to Problem B-1152, The Fibonacci Quarterly, 53 (3) (2015) 274-275. (con S. Falcón)

122. Proposed problem U342, Mathematical Reflections 4 (2015) 3.

121. Solution to Problem 462, Mathematical Excalibur, 19 (3) (2015) 3.

120. Solution to Problem 1007, The College Mathematics Journal, 46 (2) (2015) 147-148.

119. An inequality with cosines on an acute triangle, Solution to Problem 1021, The College Mathematics Journal, 46 (2) (2015) 143-144.

118. Solution to Problem 3835, Crux Mathematicorum, 40 (4) (2014) 175-176. (con S. de Luxán)

117. Solution to Problem 107, Mathproblems, 4 (4) (2014) 348.

116. Solution to Problem 47.1, Mathematical Spectrum, 47 (3) (2015) 139-140.

115. An Application of the AM-GM Inequality, Solution to Problem H-741, The Fibonacci Quarterly, 53 (2) (2015) 191.

114. Inequalities with k-Fibonacci and k-Lucas Sequences, Solution to Problem B-1149, The Fibonacci Quarterly, 53 (2) (2015) 184-185. (con S. Falcón)

113. Proposed problem B-1169, The Fibonacci Quarterly, 53 (2) (2015) 181.

112. Solution to problem 5340, School Science and Mathematics, May (2015) 10-11.

111. Solution to Quickie Q16, Revista Sclipirea Mintii, nr. 15, (2015) 47.

110. Solution to Quickie Q14, Revista Sclipirea Mintii, nr. 15, (2015) 46.

109. Solution to Quickie Q13, Revista Sclipirea Mintii, nr. 15, (2015) 45-46.

108. Proposed problem U336, Mathematical Reflections 2 (2015) 3.

107. Proposed problem U334, Mathematical Reflections 2 (2015) 3.

106. Solution to problem 5328, School Science and Mathematics, March (2015) 8-9. (con J. Chang)

105. On a Power Series with Binomial Coefficients, Solution to Problem H-735, The Fibonacci Quarterly, 53 (1) (2015) 91-92.

104. Squares of “Almost Squares” Terms, Solution to Problem B-1145, The Fibonacci Quarterly, 53 (1) (2015) 86-87.

103. Just Apply the AM-GM!, Solution to Problem B-1143, The Fibonacci Quarterly, 53 (1) (2015) 85.

102. Proposed problem B-1163, The Fibonacci Quarterly, 53 (1) (2015) 82. (con S. Falcón)

101. Solution to problem 5317, School Science and Mathematics, January (2015) 9-10.

100. Solution to problem 5313, School Science and Mathematics, January (2015) 2.


2014



99. Solution to problem 727, The Pentagon 73 (2) Spring 2014 30-31.

98. Solution to problem O319, Mathematical Reflections 6 (2014) 23.

97. Solution to problem J321, Mathematical Reflections 6 (2014) 3.

96. Proposed problem 74.2, Irish Math. Soc. Bulletin, Number 74, Winter 2014, 105.

95. Proposed problem O320, Mathematical Reflections 6 (2014) 4.

94. Solution to problem 3777, Crux Mathematicorum, 39 (8) (2014) 381.

93. Proposed problem 1952. Mathematics Magazine, 87 (4) (2014) 292.

92. Identifying some finite commutative rings with identity, Solution to problem 1006, The College Math. Journal, 45 (4) (2014) 319. (con F. Perdomo)

91. Solution to problem U309, Mathematical Reflections 4 (2014) 15.

90. Solution to problem 5305, School Science and Mathematics, November (2014) 11-12.

89. Proposed problem 5316, School Science and Mathematics, October (2014) 1.

88. Identities Involving Fibonacci, Lucas and Pell Numbers, Square–Roots and Powers, Solution to Problem H-730, The Fibonacci Quarterly, 52 (3) (2014) 286-288.

87. Inequalities With Consecutive Fibonacci Numbers, Square–Roots and Powers, Solution to Problem H-728, The Fibonacci Quarterly, 52 (3) (2014) 283-284.

86. A General Inequality Applied to Fibonacci and Lucas Numbers, Solution to Problem B-1135, The Fibonacci Quarterly, 52 (3) (2014) 279-280.

85. Easier Than It Looks, Solution to Problem B-1134, The Fibonacci Quarterly, 52 (3) (2014) 278-279.

84. Tedious But Pretty Identities, Solution to Problem B-1131, The Fibonacci Quarterly, 52 (3) (2014) 276.

83. Proposed problem B-1153, The Fibonacci Quarterly, 52 (3) (2014) 275. (con S. Falcón)

82. Proposed problem B-1152, The Fibonacci Quarterly, 52 (3) (2014) 275. (con S. Falcón)

81. Solution to problem 718, The Pentagon 73 (1) Fall 2013 43.

80. Solution to problem 716, The Pentagon 73 (1) Fall 2013 41-42.

79. Solution to problem U305, Mathematical Reflections 3 (2014) 17.

78. Solution to problem 385, Gazeta Matematica Seria A 1-2 (2014) 55-56.

77. Proposed problem 406, Gazeta Matematica Seria A 1-2 (2014) 44.

76. Looking for a closed-form expression. Solution to problem 1923. Math. Magazine, 87 (3) (2014) 234-235. (con S. Falcón y J.M. Pacheco)

75. Proposed problem U302, Mathematical Reflections 3 (2014) 3.

74. Proposed problem 1029, The College Mathematics Journal, 45 (3) (2014) 223. (con J.L. Díaz-Barrero)

73. Proposed problem B-1149, The Fibonacci Quarterly, 52 (2) (2014) 179. (con S. Falcón)

72. Proposed problem 3833, Crux Mathematicorum, 39 (4) (2014) 186,187.

71. Solution to problem 5292, School Science and Mathematics, May (2014) 7.

70. Solution to problem O291, Mathematical Reflections 1 (2014) 21.

69. Solution to problem J289, Mathematical Reflections 1 (2014) 1.

68. Proposed problem 5303, School Science and Mathematics, April (2014) 1.

67. Proposed problem S298, Mathematical Reflections 2 (2014) 2.

66. Greater Than Half the Number of Terms, Solution to Problem B-1124, The Fibonacci Quarterly, 52 (1) (2014) 84-85.

65. Inequalities With 4’s, Solution to Problem B-1121, The Fibonacci Quarterly, 52 (1) (2014) 82.

64. Solution to problem 5280, School Science and Mathematics, March (2014) 6-7.

63. Solution to problem 5279, School Science and Mathematics, March (2014) 5.

62. Solution to problem 5276, School Science and Mathematics, February (2014) 12-13.

61. Proposed problem U292, Mathematical Reflections 1 (2014) 3.

60. Solution to problem 5270, School Science and Mathematics, January (2014) 17.


2013



59. Solution to problem 376, Gazeta Matematica Seria A 3-4 (2013) 60-62. (con Cristo M. Jurado)

58. Solution to problem 45.8, Mathematical Spectrum 46(1) (2013) 46-47. (con J.G. Alonso)

57. Solution to problem O281 Mathematical Reflections 5 (2013) 24.

56. Solution to problem S281 Mathematical Reflections 5 (2013) 12.

55. Solution to problem S278 Mathematical Reflections 5 (2013) 9.

54. Solution to Problem 426, Mathematical Excalibur, 18 (3) (2013) 3.

53. Proposed problem U277 Mathematical Reflections 6 (2013).

52. Solution to problem 5263, School Science and Mathematics, December (2013) 11.

51. Solution to problem V3-1, Asymmetry Journal, 4 (2013) 3.

50. Solution to problem 5256, School Science and Mathematics, November (2013) 7-8. (con K. Sadarangani)

49. A limit with the number of perfect squares, Solution to problem 990, The College Math. Journal, 44 (5) (2013) 444-445. (con S. de Luxán)

48. (Proposed) problem 1929. Mathematics Magazine, 86 (4) (2013) 289.

47. Solution to Problem 410, Mathematical Excalibur, 18 (1) (2013) 4. (con J.G. Alonso)

46. Solution to Problem 62, Mathproblems, 3 (2) (2013) 146. (con J.G. Alonso)

45. Solution to Problem 59, Mathproblems, 3 (2) (2013) 143-144.

44. A Simple Inequality, Solution to Problem B-1114, The Fibonacci Quarterly, 51 (3) (2013) 379-380.

43. Nesbitt Type Inequality with Fibonacci Numbers, Solution to Problem B-1113, The Fibonacci Quarterly, 51 (3) (2013) 378-279.

42. (Proposed) problem 1004. The College Mathematics Journal, 44 (3) (2013) 234. (con S. Falcón)

41. Harmonic Sums and the Prime Counting Function, Solution to Problem H-706, The Fibonacci Quarterly, 51 (1) (2013) 94-95.

40. A Recurrence for Sums of Binomial Coefficients, Solution to Problem H-705, The Fibonacci Quarterly, 51 (1) (2013) 93-94.

39. Solution to problem 11586, A Line and a Triangle Generate Three Convergent Point Sequences. The American Matematical Monthly, 120, 2, (2013) 180-181. (con A. Montesdeoca)


2012



38. Solution to problem 349 (335). Gazeta Matematica, Seria A, Vol. XXX (CIX), No. 3/4 (2012) 120-121.

37. Solution to problem 342 (328). Gazeta Matematica, Seria A, Vol. XXX (CIX), No. 3/4 (2012) 113-114.

36. (Proposed) problem 370. Gazeta Matematica, Seria A, Vol. XXX (CIX), No. 3/4 (2012) 108.

35. Binomial coefficients and Fibonacci and Lucas numbers, Solution to Problem H-703, The Fibonacci Quarterly, 50 (4) (2012) 379-381. (con S. Falcón)

34. Sums of reciprocals of squares of Lucas numbers, Solution to Problem H-702, The Fibonacci Quarterly, 50 (4) (2012) 378-379. (con D. Jennings)

33. (Proposed) problem 1901. Math. Magazine, 85 (4) (2012) 295. (con C. Rodríguez)

32. Properties of Fibonacci numbers, Solution to Problem 957, The College Mathematics Journal, 43 (4) (2012) 339-340.

31. Cubonomials, Solution to Problem H-697, The Fibonacci Quarterly, 50 (3) (2012) 283-284. (con S. Falcón)

30. A k-Fibonacci identity, Solution to Problem H-696, The Fibonacci Quarterly, 50 (3) (2012) 281-283. (con S. Falcón)

29. The 'snake oil method' again!, Solution to Problem B-1094, The Fibonacci Quarterly, 50 (3) (2012) 276-277. (con S. Falcón)

28. A “Well-Connected” Sequence, Solution to Problem B-1088, The Fibonacci Quarterly, 50 (2) (2012) 183-184. (con S. Falcón)

27. (Proposed) Problem B-1110, The Fibonacci Quarterly, 50 (2) (2012) 181-182. (con S. Falcón)

26. Detecting two fake coins, Solution to Problem 954, The College Mathematics Journal, 43 (3) (2012) 262.

25. And by the AM-GM Inequality ... , Solution to Problem B-1084, The Fibonacci Quarterly, 50 (1) (2012) 87. (con S. Falcón)

24. Dos resultados del valor medio, Boletín de la Sociedad Puig Adam, 90 (2012) 84-89. (con S. Falcón)

23. The bounds of a definite integral, Solution to Problem 944, The College Mathematics Journal, 43 (1) (2012) 100-101.


2011



22. Solution to Problem 11421, The American Mathematical Monthly, 118 (4) (2011) 374-376. (con S. Falcón)

21. Solution to Problem 314, Gazeta Matematica, Seria A. 3-4 (2011) 120.

20. A symmetric inequality in three variables, Solution to Problem 936, The College Mathematics Journal, 42 (5) (2011) 408-409.

19. An “Inverse” Relation, Solution to Problem B-1075, The Fibonacci Quarterly, 49 (4) (2011) 369-370. (con S. Falcón)

18. (Proposed) Problem B-1100, The Fibonacci Quarterly, 49 (4) (2011) 368-369. (con S. Falcón)

17. (Proposed) Problem B-1099, The Fibonacci Quarterly, 49 (4) (2011) 368. (con S. Falcón)

16. (Proposed) Problem B-1098, The Fibonacci Quarterly, 49 (4) (2011) 368. (con S. Falcón)

15. (Proposed) Problem B-1095, The Fibonacci Quarterly, 49 (3) (2011) 274. (con S. Falcón)

14. Solution to Problem U191, Mathematical Reflections, Issue 2 (2011) 22.

13. Fugue on a Generalized Fibonacci Sequence Theme, Solution to Problem H-684, The Fibonacci Quarterly, 49 (2) (2011) 191-192. (con S. Falcón)

12. (Proposed) problem H-701. The Fibonacci Quarterly, 49 (2) (2011) 187. (con S. Falcón)

11. Limit of a Sequence, Solution to Problem B-1068, The Fibonacci Quarterly, 49 (2) (2011) 184. (With F. Perdomo)

10. (Proposed) problem 1867. Math. Magazine, 84 (2) (2011) 150. (con C. Rodríguez)

9. Rolle's theorem in action. Solution to problem 1837. Math. Magazine, Feb 2011: 65. (con S. Falcón)

8. Another Sum and a Product, Solution to Problem B-1063, The Fibonacci Quarterly, 49 (1) (2011) 85-86. (con S. Falcón)

7. (Proposed) Problem B-1082, The Fibonacci Quarterly, 49 (1) (2011) 82. (con S. Falcón)


2010



6. Solution to Problem 1216, The Pi Mu Epsilon Journal, Fall 2010: 567-568. (con S. Falcón)

5. (Proposed) problem H-696. The Fibonacci Quarterly, 48 (4) (2011) 373-374. (con S. Falcón)

4. A Quartic Inequality, Solution to Problem B-1051, The Fibonacci Quarterly, 48 (3) (2010) 279. (con S. Falcón)

3. Two Identities for Quartic Fibonacci and Lucas Numbers, Solution to Problem B-1058, The Fibonacci Quarterly, 48 (4) (2010) 269. (With S. Falcón)


2009



2. (Proposed) problem 11421. The American Mathematical Monthly, 116 (3) (2009) 277. (con S. Falcón)

2008



1. Growth of γn - γ. Mathematics Magazine, 81 (5) (2008) 376-377.

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