Question: For all n E ZN), denote 5,, : 23 + 43 + + (2n)3 (a)[20 points] Use Mathematical Induction to prove that for all n

For all n E ZN), denote 5,, : 23 + 43 + + (2n)3 (a)[20 points] Use Mathematical Induction to prove that for all n E ZN), we have: Sn : 2:120: + 1)2 You must justify carefully your work at each step e.g. statement of inductive assumption, base case, induction step, (b)[5 points] Prove that SIS\" for all n E 2/330

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