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for part 1 Part 1. Suppose we are using Proof by Induction to prove the formula for the sum of the squares of the first

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for part 1

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Part 1. Suppose we are using Proof by Induction to prove the formula for the sum of the squares of the first n positive integers: n(n+1)(2n+1) -1 = Which of the following is the most appropriate base case for an inductive proof? Choose... Part 2. After showing that base case, we would make our inductive step. Which of the following is the most appropriate inductive hypothesis? k(k+1)(2k +1) a) Suppose that for all k >1, E 12 = - k(k+1)(2k + 1). b) Suppose that if E12 = 2, then Dk+1 = (k k+1 2 (k+1)(k+ 2)(2k + 3) (k+1)(k+ 2)(2k + 3) C) Suppose that for some k>1, it is the case that k2 = * k(k+1)(2k +1) d) Suppose that there is some k>1 such that E12 = Choose... Part 3. Based on the answers to Parts 1 and 2, what kind of induction is this? weak induction Check Finish attempt

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