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Differentiated Geometric Series (proof without words)

This is a short, animated visual proof computing the sum of a differentiated geometric series with ratio given by r=1/2. The proof uses a dissection proof of a 2 by 2 square. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks! This animation is based on a visual proof by Roger B. Nelsen from the December 1989 issue of Mathematics Magazine (https://www.jstor.org/stable/2689487 p. 332-333). #math​ #infiniteseries #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #geometricseries #series #mathshorts​ #mathvideo​ To learn more about animating with manim, check out: https://manim.community __________________________________________________________________ Music in this video: Stars by Vlad Gluschenko |   / vgl9   Music promoted by https://www.free-stock-music.com Creative Commons / Attribution 3.0 Unported License (CC BY 3.0) https://creativecommons.org/licenses/...