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Problem 1 (6 points) Prove the following equalities using mathematical induction: a. X=16c+1) = 1 1, for all integer n 2 2. b. X=1(2i 1)

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Problem 1 (6 points) Prove the following equalities using mathematical induction: a. X=16c+1) = 1 1, for all integer n 2 2. b. X=1(2i 1) = n2, for all integer n > 1

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