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Curated by: Mathematical Visual Proofs (650 videos)
Geometric Series Sum Visually This is a short, animated visual proof demonstrating the infinite geometric series formula for any positive ratio r with r less than 1. This series is important for many results in calculus, discrete mathematics, and combinatorics. To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! If you want to see a slower, wide format version of this animation, check out: https://youtu.be/TGUWt5xcB8M Also, check out my playlist on geometric sums/series: https://youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw This animation is based on a proof by Benjamin G. Klein and Irl C. Bivens from the October 1988 issue of Mathematics Magazine page 219 (https://doi.org/10.2307/2689355). #math #calculus #manim #proofwithoutwords #geometricseries To learn more about animating with manim, check out: https://manim.community