This is a short, animated (wordless) visual proof demonstrating the sum of the infinite geometric series with ratio -1/7.

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Here are two alternating series dissections for powers of -1/2: [ Ссылка ]
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And here is an alternating series dissection for powers of -1/3:
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And here is an alternating series dissection for powers of -1/4:
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#math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricseries #infiniteseries #fractals #sum #induction #mathshorts​ #mathvideo​

To learn more about animating with manim, check out:
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Doing My Best by Alex-Productions | [ Ссылка ]
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Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
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