Question: Prove that for every positive integer n, 1 2 + 2 3+ +n(n + 1) = n(n + 1)(n + 2)/3.

Prove that for every positive integer n,
1 · 2 + 2 · 3+· · ·+n(n + 1) = n(n + 1)(n + 2)/3.

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