Question: Q1 (10 points) Use induction to prove that for all even natural numbers n, the integer n3 + 2n2 32 is divisible by 8. Q2

Q1 (10 points) Use induction to prove that for all even natural numbers n, the integer n3 + 2n2 32 is divisible by 8. Q2 (10 points) 5 2:2 (a) Compute Express your answer as a simplified fraction. (i + 1) 2 . Express your a i=1 (b) Find a simplified formula for expressed as a simplified fraction i=1 (2 + 1)2 involving n. (c) Use induction to prove your formula from (b)

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