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Math · Algebra
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For n an arbitrary positive integer, find a formula for 1 + 2 + 3 + · · · + n by summing the identity (m + 1)2 − m2 = 2m + 1 from m = 1 to n.

Using your result from part (i) together with the identity (m + 1)3 − m3 = 3m2 + 3m + 1 , find a formula for the sum 12 + 22 + 32 + · · · + n 2 .

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