{"id":1066,"date":"2019-06-11T18:53:49","date_gmt":"2019-06-11T22:53:49","guid":{"rendered":"http:\/\/josmfs.net\/?p=1066"},"modified":"2024-04-10T17:59:10","modified_gmt":"2024-04-10T21:59:10","slug":"fibonacci-fandango","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/06\/11\/fibonacci-fandango\/","title":{"rendered":"Fibonacci Fandango"},"content":{"rendered":"

\"\"<\/p>\n

This is from the UKMT Senior Challenge of 1999.<\/p>\n

What is the sum to infinity of the convergent series\"\"<\/p>\n

A_<\/span>7\/4_____<\/span>B_<\/span>2_____<\/span>C_<\/span>\u221a5_____<\/span>D_<\/span>9\/4_____<\/span>E_<\/span>7\/3\u201d<\/p>\n

Answer<\/a>.<\/p>\n

See Fibonacci Fandango<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is from the UKMT Senior Challenge of 1999. What is the sum to infinity of the convergent series A_7\/4_____B_2_____C_\u221a5_____D_9\/4_____E_7\/3\u201d Answer. See Fibonacci Fandango for a solution.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[32,145,230,83],"class_list":["post-1066","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-calculus","tag-fibonacci","tag-sequences-and-series","tag-ukmt-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1066"}],"version-history":[{"count":8,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1066\/revisions"}],"predecessor-version":[{"id":3827,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1066\/revisions\/3827"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}