{"id":3149,"date":"2024-01-14T12:23:53","date_gmt":"2024-01-14T12:23:53","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3149"},"modified":"2024-01-14T12:24:43","modified_gmt":"2024-01-14T12:24:43","slug":"sucesion-de-triangulos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/01\/14\/sucesion-de-triangulos\/","title":{"rendered":"Sucesi\u00f3n de tri\u00e1ngulos"},"content":{"rendered":"<pre>Problema 3 del nivel B de la Olimpiada Provincial de Alicante de la Olimpiada de la Comunidad Valenciana de 2023\r\nSe dirige a una edad de: 14 -15 a\u00f1os<\/pre>\n<p>La figura se ha construido a partir de un tri\u00e1ngulo equil\u00e1tero de lado 2\u00b2\u2070\u00b2\u00b2 mediante la construcci\u00f3n sucesiva de tri\u00e1ngulos equil\u00e1teros de lado la mitad del lado anterior.<\/p>\n<p>Calcula el per\u00edmetro exterior de la figura, sabiendo que el lado del \u00faltimo tri\u00e1ngulo dibujado es de longitud 2\u2070 = 1.<\/p>\n<p>Pista: 1 + 2 + 4 +\u2026 + 2^n = 2^(n + 1) \u2013 1.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/01\/332.sucesion00.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-3151\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/01\/332.sucesion00.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2024\/01\/332.sucesion00-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 del nivel B de la Olimpiada Provincial de Alicante de la Olimpiada de la Comunidad Valenciana de 2023 Se dirige a una edad de: 14 -15 a\u00f1os La figura se ha construido a partir de un tri\u00e1ngulo equil\u00e1tero de lado 2\u00b2\u2070\u00b2\u00b2 mediante la construcci\u00f3n sucesiva de tri\u00e1ngulos equil\u00e1teros de lado la mitad del [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242028,2242020,1738,2849],"tags":[],"class_list":["post-3149","post","type-post","status-publish","format-standard","hentry","category-comunidadvalenciana","category-olimpiada-de-la-comunidad-valenciana","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3149","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=3149"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3149\/revisions"}],"predecessor-version":[{"id":3152,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3149\/revisions\/3152"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3149"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3149"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}