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Provide two proofs of the following identity for n 2 1: 1+2 .5 +3 . 52 + ... + n. 50-1_ 1- (n+1)5 + 15

Provide two proofs of the following identity for n 2 1: 1+2 .5 +3 . 52 + ... + n. 50-1_ 1- (n+1)5" + 15 +1 42 (a) by telescoping sums (b) by induction 1

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