Geometric series: sum of powers of 1/2 (visual proof)

This is a short, animated visual proof demonstrating the infinite sum of the powers of 1/2 using an isosceles triangle. #mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricseries #series #infinitesums #infiniteseries

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Creative Commons Attribution 3.0 Unported License

[gamiart]

I thought the containing triangle was the first term in the series- a half(half of a square), so when i saw that the sum of the series adds up to one i was like wait wut.. it's supposed to be a half.. And i'm wondering what am i missing because the series is infinite so it shouldn't make a difference..

[KaliFissure]

And kinda works w any triangle if you just half the opposite side