{"id":3807,"date":"2018-02-26T06:00:46","date_gmt":"2018-02-26T04:00:46","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=3807"},"modified":"2018-03-06T07:15:57","modified_gmt":"2018-03-06T05:15:57","slug":"generacion-de-progresiones-geometricas","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/generacion-de-progresiones-geometricas\/","title":{"rendered":"Generaci\u00f3n de progresiones geom\u00e9tricas"},"content":{"rendered":"<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   geometrica :: Int -> Int -> Int -> [Int]\n<\/pre>\n<p>tal que (geometrica a b c) es la lista de los t\u00e9rminos de la progresi\u00f3n geom\u00e9trica cuyo primer t\u00e9rmino es a, su segundo t\u00e9rmino es b (que se supone que es m\u00faltiplo de a) y los t\u00e9rminos son menores o iguales que c. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   geometrica 1 3  27   ==  [1,3,9,27]\n   geometrica 2 6  100  ==  [2,6,18,54]\n   geometrica 3 12 57   ==  [3,12,48]\n   geometrica 4 20 253  ==  [4,20,100]\n   geometrica 5 25 625  ==  [5,25,125,625]\n   geometrica 6 42 42   ==  [6,42]\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\n-- 1\u00aa definici\u00f3n\ngeometrica :: Int -> Int -> Int -> [Int]\ngeometrica a b c =\n  takeWhile (<=c) (iterate (*r) a)\n  where r = b `div` a\n\n-- 2\u00aa definici\u00f3n\ngeometrica2 :: Int -> Int -> Int -> [Int]\ngeometrica2 a b c = aux a b \n  where aux a b \n          | a > c     = []\n          | otherwise = a : aux b (b * r)\n        r = b `div` a\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Definir la funci\u00f3n geometrica :: Int -> Int -> Int -> [Int] tal que (geometrica a b c) es la lista de los t\u00e9rminos de la progresi\u00f3n geom\u00e9trica cuyo primer t\u00e9rmino es a, su segundo t\u00e9rmino es b (que se supone que es m\u00faltiplo de a) y los t\u00e9rminos son menores o iguales que c&#8230;.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[5],"tags":[30,50,11,6,34],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3807"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/comments?post=3807"}],"version-history":[{"count":3,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3807\/revisions"}],"predecessor-version":[{"id":3839,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3807\/revisions\/3839"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=3807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=3807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=3807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}