This is a short, animated (wordless) visual proof demonstrating the sum of the infinite geometric series with ratio -1/4. #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricseries #infiniteseries #fractals #sum #induction #mathshorts​ #mathvideo​

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Here is an alternating series dissection for powers of -1/2: [ Ссылка ]

And here is an alternating series dissection for powers of -1/3:
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This proof is based on a visual proof by Ivica Martinjak & Ana Mimica from the May 2021 issue of the College Mathematics Journal ([ Ссылка ] page 204).

To learn more about animating with manim, check out:
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Music in this video:
Justice by MaxKoMusic | [ Ссылка ]
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Creative Commons Attribution-ShareAlike 3.0 Unported
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