{"id":2733,"date":"2017-12-04T13:53:11","date_gmt":"2017-12-04T13:53:11","guid":{"rendered":"https:\/\/www.chrislamb.com\/?p=2733"},"modified":"2017-12-04T16:15:47","modified_gmt":"2017-12-04T16:15:47","slug":"1-2-3-4-%e2%88%9e-1-12","status":"publish","type":"post","link":"https:\/\/www.chrislamb.com\/?p=2733","title":{"rendered":"1 + 2 + 3 + 4 + &#8230; \u00e2\u02c6\u017e  =   -1\/12"},"content":{"rendered":"<p>OK &#8211; a change of focus. No politics.<\/p>\n<p>Let&#8217;s encourage some interest in Mathematics &#8211; watch this Numberphile video to see the (apparently divergent) series in the title is equivalent to -1\/12<\/p>\n<p>Let me make it clear &#8211; sum the infinite series of Natural numbers ( 1 + 2 + 3 + 4 + 5 + &#8230;   and never stop) and the approximation value which results is -1\/12<\/p>\n<p>A negative fraction from an infinite sum of positive numbers.<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=w-I6XTVZXww\">https:\/\/www.youtube.com\/watch?v=w-I6XTVZXww<\/a><\/p>\n<p>There are many videos discussing this &#8211; and versions with more complex applications of Riemann&#8217;s functions to find the same result.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>OK &#8211; a change of focus. No politics. Let&#8217;s encourage some interest in Mathematics &#8211; watch this Numberphile video to see the (apparently divergent) series in the title is equivalent to -1\/12 Let me make it clear &#8211; sum the infinite series of Natural numbers ( 1 + 2 + 3 + 4 + 5 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[23],"tags":[],"class_list":["post-2733","post","type-post","status-publish","format-standard","hentry","category-blog-2"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p53QCd-I5","_links":{"self":[{"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=\/wp\/v2\/posts\/2733","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2733"}],"version-history":[{"count":4,"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=\/wp\/v2\/posts\/2733\/revisions"}],"predecessor-version":[{"id":2738,"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=\/wp\/v2\/posts\/2733\/revisions\/2738"}],"wp:attachment":[{"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.chrislamb.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}