97.Find the value 2/15+2/35+2/63+2/99+------2/9999

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100^{2} - 99^{2} + 98^{2} - 97^{2} . . . . . . . . . - 3^{2} + 2^{2} - 1^{2}

100^{2} - 99^{2} + 98^{2} - 97^{2} + 96^{2} + 95^{2} + . . . . = S

S = ?

$S = 100^{2} - 99^{2} + 98^{2} - 97^{2} + . . . . . . . . . . . . . . . . . . . . . . . . + 2^{2} - 1^{2};$ what is the value of S?

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