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Let P(n) be the statement that 12 + 22 +· · ·+n 2 = n(n+ 1)(2n+...

Let P(n) be the statement that 12 + 22 +· · ·+n 2 = n(n+ 1)(2n+ 1)/6 for the positive integer n. Prove that P(n) is true for n ≥ 1.

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