This is a short, animated visual proof demonstrating the sum of the infinite series of the powers of 1/4. #shorts​​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricseries #series #infiniteseries #fractal

To see the original wordless version of this video, check out:    • Geometric series: sum of powers of 1/...  

Here is a longer form video with lots of related infinite geometric sums:    • Beautiful Geometry behind Geometric S...  

This animation is based on a visual proof by Rick Mabry from the February 1999 issue of Mathematics Magazine (https://www.jstor.org/stable/2691318 page 63).

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

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Music in this:
Prelude No. 6 by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/...

Source: http://chriszabriskie.com/preludes/'>http://chriszabriskie.com/preludes/

Artist: http://chriszabriskie.com/