{"id":72,"date":"2007-10-05T03:48:55","date_gmt":"2007-10-05T03:48:55","guid":{"rendered":"http:\/\/sschinder.wordpress.com\/2007\/10\/05\/summations"},"modified":"2007-10-05T03:48:55","modified_gmt":"2007-10-05T03:48:55","slug":"summations","status":"publish","type":"post","link":"https:\/\/squarez.motd.org\/?p=72","title":{"rendered":"Summations"},"content":{"rendered":"<div id=\"msgcns!BAD7B8689A4C96A4!337\" class=\"bvMsg\">\n<p>Summations or triangular numbers is one of the simplest magic skill\u00a0to master.\u00a0It is useful in the study of\u00a0magic squares and gematria.<\/p>\n<p>If we write SUM( 1..n, n) as T( n), &#8220;the triangle of n&#8221;,\u00a0we have the following three properties:<\/p>\n<p>T( n)\u00a0\u00a0= n\u00a0\u00d7 (n+1) \/ 2<\/p>\n<p>n\u00b2 = T( n) + T( n-1)<\/p>\n<p>T( n)\u00b2 = n\u00b3 + T( n-1)\u00b2 = SUM( 1..n, n\u00b3)<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Summations or triangular numbers is one of the simplest magic skill\u00a0to master.\u00a0It is useful in the study of\u00a0magic squares and gematria. If we write SUM( 1..n, n) as T( n), &#8220;the triangle of n&#8221;,\u00a0we have the following three properties: T( &hellip; <a href=\"https:\/\/squarez.motd.org\/?p=72\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-72","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts\/72","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=72"}],"version-history":[{"count":0,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts\/72\/revisions"}],"wp:attachment":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=72"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=72"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=72"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}