Mathegoras

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Alternating block sum of squares

Middle school · ●●○○○ 20 pts

Compute 1002+992−982−972+962+952−942−932+…+42+32−22−12100^{2}+99^{2}-98^{2}-97^{2}+96^{2}+95^{2}-94^{2}-93^{2}+\ldots+4^{2}+3^{2}-2^{2}-1^{2}.

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difference of squaresarithmetic series