{"id":403,"date":"2020-11-13T15:22:05","date_gmt":"2020-11-13T21:22:05","guid":{"rendered":"http:\/\/blogs.acu.edu\/mu_sigma\/?p=403"},"modified":"2020-11-13T15:22:05","modified_gmt":"2020-11-13T21:22:05","slug":"problem-6-a-fractional-sum-november-13-2020","status":"publish","type":"post","link":"https:\/\/blogs.acu.edu\/mu_sigma\/2020\/11\/13\/problem-6-a-fractional-sum-november-13-2020\/","title":{"rendered":"Problem 6 &#8211; A Fractional Sum &#8211; November 13, 2020"},"content":{"rendered":"<p><span style=\"font-size: xx-large\"><b>A Fractional Sum<\/b><\/span><\/p>\n<p>Given a positive integer\u00a0<i>n<\/i>, which integers can arise as the sum<\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2020\/11\/Screen-Shot-2020-11-13-at-3.19.41-PM.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-404\" src=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2020\/11\/Screen-Shot-2020-11-13-at-3.19.41-PM.png\" alt=\"\" width=\"258\" height=\"99\" srcset=\"https:\/\/blogs.acu.edu\/mu_sigma\/files\/2020\/11\/Screen-Shot-2020-11-13-at-3.19.41-PM.png 258w, https:\/\/blogs.acu.edu\/mu_sigma\/files\/2020\/11\/Screen-Shot-2020-11-13-at-3.19.41-PM-150x58.png 150w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><\/a><\/p>\n<p>where\u00a0<i>x<\/i><sub>i<\/sub> is a strictly increasing sequence of positive integers?\u00a0 \u00a0Please submit all solutions to mathpotw@acu.edu by 5:00 PM on Thursday, Dec 2nd.\u00a0 This will be our final problem of the week this semester.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A Fractional Sum Given a positive integer\u00a0n, which integers can arise as the sum where\u00a0xi is a strictly increasing sequence of positive integers?\u00a0 \u00a0Please submit all solutions to mathpotw@acu.edu by 5:00 PM on Thursday, Dec 2nd.\u00a0 This will be our final problem of the week this semester.<\/p>\n","protected":false},"author":130,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[181534],"tags":[],"class_list":["post-403","post","type-post","status-publish","format-standard","hentry","category-problem-of-the-week"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/403","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/comments?post=403"}],"version-history":[{"count":1,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/403\/revisions"}],"predecessor-version":[{"id":405,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/403\/revisions\/405"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/media?parent=403"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/categories?post=403"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/tags?post=403"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}