This is a short, animated visual proof demonstrating the infinite alternating geometric series formula for any positive ratio r with r less than 1 and with positive first term a. This series is important for many results in calculus, discrete mathematics, and combinatorics.
To buy me a coffee, head over to www.buymeacoffee.com/VisualProofs
Thanks!
For a slower, wide format version of this video (without words), see ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Qa0bOHYjnW0.html
Also, check out my playlist on geometric sums/series: ru-vid.com/group/PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw
This animation is based on a proof by The Viewpoints 2000 group from the October 2001 issue of Mathematics Magazine page 320 (www.jstor.org/stable/2691106 ).
#mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricsums #series #infinitesums #infiniteseries #geometric #geometricseries
To learn more about animating with manim, check out:
manim.community
13 июн 2024
