Question: 3. PROOF BY INDUCTION Every proof in this section must be done by induction. (a) Prove that every n E N is either even or

3. PROOF BY INDUCTION Every proof in this section must be done by induction. (a) Prove that every n E N is either even or odd (using the above definitions of even and odd). (b) Prove that for every n E N, we have 1 + +.. . . + 22 + 32 2 2 52 - n

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