Question: Prove that 12 22 + 32 + + (-1)n+1n2 = (-1)n+1n(n + 1)/2 for all n N.

Prove that 12  22 + 32 + ∙ ∙ ∙ + (-1)n+1n2 = (-1)n+1n(n + 1)/2 for all n ∈ N.

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