{"id":2914,"date":"2022-10-15T07:33:08","date_gmt":"2022-10-15T11:33:08","guid":{"rendered":"https:\/\/josmfs.net\/?p=2914"},"modified":"2024-04-06T10:07:40","modified_gmt":"2024-04-06T14:07:40","slug":"stimulating-sequence","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/10\/15\/stimulating-sequence\/","title":{"rendered":"Stimulating Sequence"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2912\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Stimulating-Sequence-Fig2.jpg\" alt=\"\" width=\"200\" height=\"219\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Stimulating-Sequence-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Stimulating-Sequence-Fig2-275x300.jpg 275w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is another stimulating little problem from the 2022 Math Calendar.<\/p>\n<p style=\"text-align: center;\">\u201c<em>a<\/em><sub>1<\/sub> = 1, <em>a<\/em><sub>2<\/sub> = 2, \u2026, <em>a<sub>n<\/sub><\/em><sub>+1<\/sub> = <em>a<sub>n<\/sub> +<\/em> 6<em>a<sub>n-<\/sub><\/em><sub>1<\/sub><\/p>\n<p style=\"text-align: center;\"><em>x = <\/em>lim <em>a<sub>n<\/sub><\/em><sub>+1<\/sub>\/<em>a<sub>n<\/sub>\u00a0\u00a0 <\/em>as\u00a0\u00a0 <em>n<\/em> \u2192 \u221e<\/p>\n<p>Solve for <em>x<\/em>.\u201d<\/p>\n<p>As before, recall that all the answers are integer days of the month.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Stimulating-Sequence-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Stimulating-Sequence-221013.pdf\">Stimulating Sequence<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another stimulating little problem from the 2022 Math Calendar. \u201ca1 = 1, a2 = 2, \u2026, an+1 = an + 6an-1 x = lim an+1\/an\u00a0\u00a0 as\u00a0\u00a0 n \u2192 \u221e Solve for x.\u201d As before, recall that all the answers are integer days of the month. Answer. See Stimulating Sequence 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":[183,230],"class_list":["post-2914","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-math-calendar","tag-sequences-and-series"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2914","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=2914"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2914\/revisions"}],"predecessor-version":[{"id":3593,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2914\/revisions\/3593"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2914"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2914"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2914"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}