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:
   • Infinitely Many Infinite Sums Geometr...  
   • Infinite series: summing reciprocals ...  

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


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