This is a short, animated visual proof showing the sum of the infinite geometric series with first term 7/8 and ratio 1/8, which in turn allows us to compute the sum of the series of powers of 1/8. #manim #math​​ #mathshorts​ #mathvideo​ #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #series #geometricseries #infiniteseries

This animation is based on a visual proof from Roger B. Nelsen in the February 2006 issue of Mathematics Magazine ([ Ссылка ] or [ Ссылка ]), page 60.

To learn more about animating with manim, check out:
[ Ссылка ]
___________________________________
Music:
Journey To Another World (Interlude) by Punch Deck | [ Ссылка ]
Music promoted by [ Ссылка ]
Creative Commons Attribution 3.0 Unported License
[ Ссылка ]

свернуть