{"id":3059,"date":"2023-01-28T08:45:00","date_gmt":"2023-01-28T13:45:00","guid":{"rendered":"https:\/\/josmfs.net\/?p=3059"},"modified":"2024-04-05T17:09:37","modified_gmt":"2024-04-05T21:09:37","slug":"incredible-trick-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/01\/28\/incredible-trick-puzzle\/","title":{"rendered":"Incredible Trick Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3057\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Incredible-Trick-Fig2.jpg\" alt=\"\" width=\"201\" height=\"194\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Incredible-Trick-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Incredible-Trick-Fig2-300x290.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>Here is another typical sum puzzle from Presh Talwalkar.<\/p>\n<p>\u201cSolve the following sums:<\/p>\n<p><span style=\"color: #ffffff;\">_____<\/span>1\/(1\u00d73) + 1\/(3\u00d75) + 1\/(5\u00d77) + 1\/(7\u00d79) + 1\/(9\u00d711) =<\/p>\n<p><span style=\"color: #ffffff;\">_____<\/span>1\/(4\u00d77) + 1\/(7\u00d710) + 1\/(10\u00d713) + 1\/(13\u00d716) =<\/p>\n<p><span style=\"color: #ffffff;\">_____<\/span>1\/(2\u00d77) + 1\/(7\u00d712) + 1\/(12\u00d717) + \u2026 =\u201d<\/p>\n<p>The only reason I am including this puzzle is that Talwalkar gets very excited about deriving a formula that can solve sums of this type.\u00a0 This gives me an opportunity to discuss the \u201cformula vs. procedure\u201d way of doing math.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Incredible-Trick-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Incredible-Trick-Puzzle-220324.pdf\">Incredible Trick Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is another typical sum puzzle from Presh Talwalkar. \u201cSolve the following sums: _____1\/(1\u00d73) + 1\/(3\u00d75) + 1\/(5\u00d77) + 1\/(7\u00d79) + 1\/(9\u00d711) = _____1\/(4\u00d77) + 1\/(7\u00d710) + 1\/(10\u00d713) + 1\/(13\u00d716) = _____1\/(2\u00d77) + 1\/(7\u00d712) + 1\/(12\u00d717) + \u2026 =\u201d The only reason I am including this puzzle is that Talwalkar gets very excited about deriving [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[17,230],"class_list":["post-3059","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-presh-talwalkar","tag-sequences-and-series"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3059","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=3059"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3059\/revisions"}],"predecessor-version":[{"id":3560,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3059\/revisions\/3560"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}