Question: Prove that 12 22 + 32 - + ( 1)n1n2 = ( 1)n1 n(n + 1)/2 whenever n is a positive integer.

Prove that 12 − 22 + 32 - · · ·+ (− 1)n−1n2 = (− 1)n−1 n(n + 1)/2 whenever n is a positive integer.

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