{"id":3469,"date":"2024-12-27T12:23:20","date_gmt":"2024-12-27T12:23:20","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3469"},"modified":"2025-01-04T11:51:27","modified_gmt":"2025-01-04T11:51:27","slug":"divisible-por-una-potencia-de-5","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/12\/27\/divisible-por-una-potencia-de-5\/","title":{"rendered":"Divisible por una potencia de 5"},"content":{"rendered":"<pre>\nProblema 4 de la Fase Nacional de la L Olimpiada Matem\u00e1tica Espa\u00f1ola (2014)\nSe dirige a una edad de: 16-17 a\u00f1os\n<\/pre>\n\n\n<p>La sucesi\u00f3n {x<sub>n<\/sub>} para n entero positivo, definida por x<sub>1<\/sub> = 2 y x<sub>n + 1<\/sub> = 2(x<sub>n<\/sub>)\u00b3 + x<sub>n<\/sub> para todo n mayor o igual que 1.<\/p>\n\n\n\n<p>Determina la mayor potencia de 5 que divide al n\u00famero (x<sub>2014<\/sub>)\u00b2 + 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/12\/368.divisiblepor5.png\" alt=\"\" class=\"wp-image-3470\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/01\/04\/solucion-a-divisible-por-una-potencia-de-5\/\">Aqu\u00ed<\/a>.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 de la Fase Nacional de la L Olimpiada Matem\u00e1tica Espa\u00f1ola (2014) Se dirige a una edad de: 16-17 a\u00f1os La sucesi\u00f3n {xn} para n entero positivo, definida por x1 = 2 y xn + 1 = 2(xn)\u00b3 + xn para todo n mayor o igual que 1. Determina la mayor potencia de 5 [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3469","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-ome","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3469","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3469"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3469\/revisions"}],"predecessor-version":[{"id":3475,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3469\/revisions\/3475"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}