{"id":1275,"date":"2019-10-01T09:27:15","date_gmt":"2019-10-01T13:27:15","guid":{"rendered":"http:\/\/josmfs.net\/?p=1275"},"modified":"2024-04-10T14:56:59","modified_gmt":"2024-04-10T18:56:59","slug":"unexpected-sum","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/10\/01\/unexpected-sum\/","title":{"rendered":"Unexpected Sum"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1273\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/10\/Unexpected-Sum-fig.jpg\" alt=\"\" width=\"170\" height=\"90\" \/>This is another stimulating math problem from Colin Hughes\u2019s <em>Maths Challenge<\/em> website (mathschallenge.net).<\/p>\n<p>\u201c<strong>Problem<\/strong><br \/>\nFind the exact value of the following infinite series:<\/p>\n<p style=\"text-align: center;\">1\/2! + 2\/3! + 3\/4! + 4\/5! + &#8230;\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Unexpected-Sum-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/10\/Unexpected-Sum-190801.pdf\">Unexpected Sum<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another stimulating math problem from Colin Hughes\u2019s Maths Challenge website (mathschallenge.net). \u201cProblem Find the exact value of the following infinite series: 1\/2! + 2\/3! + 3\/4! + 4\/5! + &#8230;\u201d Answer. See the Unexpected Sum for solutions.<\/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":[151,152,230],"class_list":["post-1275","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-colin-hughes","tag-power-series","tag-sequences-and-series"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1275","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=1275"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1275\/revisions"}],"predecessor-version":[{"id":3801,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1275\/revisions\/3801"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}