{"id":3081,"date":"2014-03-03T13:05:24","date_gmt":"2014-03-03T18:05:24","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/icm00794\/?p=3081"},"modified":"2026-04-05T06:48:51","modified_gmt":"2026-04-05T11:48:51","slug":"1eva2003ti_t2-verificar-una-induccion-matematica","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/fp-1eva10\/1eva2003ti_t2-verificar-una-induccion-matematica\/","title":{"rendered":"1Eva2003TI_T2 Verificar una inducci\u00f3n matem\u00e1tica"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Parcial I T\u00e9rmino 2003 - 2004. Julio 08, 2003 \/ICM00794<\/h2>\n\n\n\n<p><strong>Tema 2.<\/strong> (15 puntos) Por el proceso de Inducci\u00f3n Matem\u00e1tica se puede demostrar la siguiente propiedad:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 1^3 + 2^3 + 3^3 + \\text{...}+ n^3 = \\Big[ \\frac{n(n+1)}{2}\\Big]^2 <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\forall n \\in \\mathbb{N} <\/span>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"424\" height=\"328\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2014\/03\/balanza01.png\" alt=\"balanza de platillos\" class=\"wp-image-16388\" \/><\/figure>\n\n\n\n<p>Realice un programa que valide el ingreso de un valor <strong>n<\/strong> entero (<strong>10&nbsp;<\/strong>\u2264 <strong>n<\/strong> \u2264<strong> 50<\/strong>) y verifique si cumple tal propiedad.<br><br><em><strong>Sugerencia<\/strong><\/em>: calcule ambos lados de la ecuaci\u00f3n y compare resultados.<\/p>\n\n\n\n<p><em><strong>R\u00fabrica<\/strong><\/em>: suma de serie al cubo (5 puntos), formula derecha y comparaci\u00f3n (5 puntos). Revisi\u00f3n de la propiedad (5 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Parcial I T\u00e9rmino 2003 - 2004. Julio 08, 2003 \/ICM00794 Tema 2. (15 puntos) Por el proceso de Inducci\u00f3n Matem\u00e1tica se puede demostrar la siguiente propiedad: Realice un programa que valide el ingreso de un valor n entero (10&nbsp;\u2264 n \u2264 50) y verifique si cumple tal propiedad. Sugerencia: calcule ambos lados de la ecuaci\u00f3n [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-fp-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[113],"tags":[145,158],"class_list":["post-3081","post","type-post","status-publish","format-standard","hentry","category-fp-1eva10","tag-acumuladores","tag-lazos-bucles"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3081","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=3081"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3081\/revisions"}],"predecessor-version":[{"id":16390,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3081\/revisions\/16390"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3081"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3081"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3081"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}