{"id":411485,"date":"2026-08-26T19:59:39","date_gmt":"2026-08-26T16:59:39","guid":{"rendered":"https:\/\/menhj.com\/videos\/?post_type=watch&#038;p=411485"},"modified":"2026-08-26T19:59:39","modified_gmt":"2026-08-26T16:59:39","slug":"sum-of-triangular-numbers-i-visual-proof","status":"publish","type":"watch","link":"https:\/\/menhj.com\/videos\/watch\/sum-of-triangular-numbers-i-visual-proof\/","title":{"rendered":"Sum of Triangular Numbers I visual proof"},"content":{"rendered":"<p>1. Sum of Triangular Numbers I visual proof \u2014 Mathematical Visual Proofs<br \/>\n2. A Triangular Number Identity I visual proof \u2014 Mathematical Visual Proofs<br \/>\n3. Proof Without Words Sum of Triangular Numbers \u2014 Andrew Balm<br \/>\n4. Sum of Triangular Numbers II visual proof via cannonballs \u2014 Mathematical Visual Proofs<br \/>\n5. Calculating triangular numbers the fast way visual proof \u2014 Aurian Tobyn<br \/>\n6. A Multiplicative Triangular Number Recurrence visual proof \u2014 Mathematical Visual Proofs<br \/>\n7. Sum of Odd Cubes is Triangular visual proof without words \u2014 Mathematical Visual Proofs<br \/>\n8. Infinite series summing reciprocals of triangular numbers visual proof \u2014 Mathematical Visual Proofs<br \/>\n9. Triangular Numbers Modulo 3 visual proof \u2014 Mathematical Visual Proofs<br \/>\n10. Sums of Oblong Numbers III visual proof without words \u2014 Mathematical Visual Proofs<br \/>\n11. A Dozen Proofs Sum of Integers Formula visual proofs 2 \u2014 Mathematical Visual Proofs<br \/>\n12. Alternating Sum of Triangular Numbers visual proof without words \u2014 Mathematical Visual Proofs<br \/>\n13. Sum of n Triangular Numbers Animation mathocube \u2014 Mathocube<br \/>\n14. A Dramatic Finite Sum Oblong Numbers II visual proof without words \u2014 Mathematical Visual Proofs<br \/>\n15. Triangular Numbers 1 2 3 n n n 1 2 \u2014 Tam\u00e1s G\u00f6rbe<br \/>\n16. Triangular Numbers Visual Math Sum of Natural Numbers \u2014 Doodlingo IQ<br \/>\n17. Products of Odd Squares and Triangular Numbers visual proof updated version \u2014 Mathematical Visual Proofs<br \/>\n18. Sums of Oblong Numbers I visual proof without words \u2014 Mathematical Visual Proofs<br \/>\n19. Geometric series sums of powers of 9 are Triangular visual proof \u2014 Mathematical Visual Proofs<br \/>\n20. Sum of odd integers a generalization visual proof \u2014 Mathematical Visual Proofs<\/p>\n","protected":false},"featured_media":411486,"template":"","meta":[],"categories":[],"tags":[],"class_list":["post-411485","watch","type-watch","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/watch\/411485","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/watch"}],"about":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/types\/watch"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/media\/411486"}],"wp:attachment":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/media?parent=411485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/categories?post=411485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/tags?post=411485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}