Uploaded July 2024 | Updated September 2026, 2 weeks ago

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This is a short, animated visual proof computing the sums of two series - one of reciprocals of triangular numbers (i.e., certain binomial coefficients) and the other a classic series that is used to demonstrate telescoping series.

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For some related videos see these videos:
youtu.be/moxeqJx2YsY
youtu.be/I0juicS3SIc

This animation is based on a visual proof by Paul Stephenson from the December 2022 issue of Mathematics Magazine (doi.org/10.1080/0025570X.2022.2126173 page 572 ).


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