Two Infinite Series Sums from Regular Polygons (visual proof)

Published: 07 July 2024
on channel: Mathematical Visual Proofs
12,269
785

This is a short, animated visual proof computing the sums of two series - one of reciprocals of triangular numbers (i.e., certain binomial coefficients) and the other a classic series that is used to demonstrate telescoping series.

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!

For some related videos see these videos:
   • Infinitely Many Infinite Sums Geometr...  
   • Infinite series: summing reciprocals ...  

This animation is based on a visual proof by Paul Stephenson from the December 2022 issue of Mathematics Magazine (https://doi.org/10.1080/0025570X.2022... page 572 ).


#mathshorts​ #mathvideo​ #math​ #infiniteseries #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #triangularnumbers ​​ #animation​ #theorem​​ #proof​ #iteachmath #series #infinitesums #infiniteseries #pascaltriangle #binomialcoefficients #binomials #binomialtheorem #telescoping

To learn more about animating with manim, check out:
https://manim.community


Watch video Two Infinite Series Sums from Regular Polygons (visual proof) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 07 July 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 12,269 once and liked it 785 people.