Geometric sum of powers of 7

This is a short, animated visual proof demonstrating the finite geometric sum formula for any integer n with n greater than 3 (explicitly showing the case n=7 with k=3). This series (and its infinite analog when x less than 1) is important for many results in calculus, discrete mathematics, and combinatorics.

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For a longer version of this video with other geometric sums (to see how this generalizes), check out:    • Self Similar Geometric Series: Sums of pow...  

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

This animation is based on a proof by Mingjang Chen from the December 2004 issue of Mathematics Magazine page 373 (doi.org/10.2307/3219202).

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