olymmath

HMMT 2001 U53

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Find the sum of the infinite series 132−12(112−132)+152−32(132−152)+172−52(152−172)+\frac{1}{3^{2}-1^{2}}\left(\frac{1}{1^{2}}-\frac{1}{3^{2}}\right)+\frac{1}{5^{2}-3^{2}}\left(\frac{1}{3^{2}}-\frac{1}{5^{2}}\right)+\frac{1}{7^{2}-5^{2}}\left(\frac{1}{5^{2}}-\frac{1}{7^{2}}\right)+

Dataset text NuminaMath olympiads. Quoted with source.

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