Alternating Geometric Series Sum

Published: 13 June 2024
on channel: Mathematical Visual Proofs
102,568
6.9k

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.
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For a slower, wide format version of this video (without words), see    • Alternating Geometric Series (visual ...  

Also, check out my playlist on geometric sums/series:    • Geometric Sums  

This animation is based on a proof by The Viewpoints 2000 group from the October 2001 issue of Mathematics Magazine page 320 (https://www.jstor.org/stable/2691106 ).

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