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(3 points) Prove the following extension to Gauss's sum using induction on n. Make sure to include a base case for n=1 and an inductive

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(3 points) Prove the following extension to Gauss's sum using induction on n. Make sure to include a base case for n=1 and an inductive hypothesis and an inductive step for n>1. Theorem 3: i=1ni3=(2n(n+1))2

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