Alternating Geometric Series Sum

Опубликовано: 13 Июнь 2024
на канале: 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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