Question: Proof By Induction: Proposition 1: Let n E N. Prove w (w + 1) = n (n+1) (n+2) 3 W=1 Proposition 2: Prove that 9

Proof By Induction:

Proposition 1: Let n E N. Prove w (w + 1) = n (n+1) (n+2) 3 W=1 Proposition 2: Prove that 9 | (43n + 8) for every positive integer n. Proposition 3: Suppose a E Z. Prove that 5 | 2" a implies 5 | a for any n E Z. Proposition 4: Prove that 2" + 1 2. Prove that nA = n(A.) i=1

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