{"id":4548,"date":"2025-09-06T14:39:00","date_gmt":"2025-09-06T18:39:00","guid":{"rendered":"https:\/\/josmfs.net\/?p=4548"},"modified":"2025-09-06T14:39:00","modified_gmt":"2025-09-06T18:39:00","slug":"astronomical-sum","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/09\/06\/astronomical-sum\/","title":{"rendered":"Astronomical Sum"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4544\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Fig2.jpg\" alt=\"\" width=\"200\" height=\"179\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Fig2-300x269.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a problem from the 2000 Olymon (the Mathematics Olympiads Correspondence Program) for secondary students sponsored jointly by the Canadian Mathematical Society and the Mathematics Department of the University of Toronto.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4547 alignleft\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Eq.jpg\" alt=\"\" width=\"233\" height=\"44\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Eq.jpg 487w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Eq-300x57.jpg 300w\" sizes=\"auto, (max-width: 233px) 100vw, 233px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Find the value of <em>S<\/em>.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/09\/Astronomical-Sum-250125.pdf\">Astronomical Sum<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a problem from the 2000 Olymon (the Mathematics Olympiads Correspondence Program) for secondary students sponsored jointly by the Canadian Mathematical Society and the Mathematics Department of the University of Toronto. &nbsp; Find the value of S.\u201d Answer. See Astronomical 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":[3],"tags":[205,230],"class_list":["post-4548","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-ed-barbeau","tag-sequences-and-series"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4548","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=4548"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4548\/revisions"}],"predecessor-version":[{"id":4550,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4548\/revisions\/4550"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4548"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}