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Problem 4: Induction. [8 points (a) Prove that for all positive integer n, we have -(N + 2-n2 + 3n (b) Prove that for all

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Problem 4: Induction. [8 points (a) Prove that for all positive integer n, we have -(N + 2-n2 + 3n (b) Prove that for all positive integer T, we have 1 (3i2 + 7i + 3) n" + 5n2 + 7n

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