1. Direct proofs and proofs by cases. (a) Prove that n = 2(2) + () for...

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1. Direct proofs and proofs by cases. (a) Prove that n² = 2(2) + () for all integers n > 2. (b) Let z and y be integers. Prove that x² + y² is even if and only if a +y is even. (c) Let f(n) = n²+n+1, where n EN. Find all of the possible values of f(n) % 5. 1. Direct proofs and proofs by cases. (a) Prove that n² = 2(2) + () for all integers n > 2. (b) Let z and y be integers. Prove that x² + y² is even if and only if a +y is even. (c) Let f(n) = n²+n+1, where n EN. Find all of the possible values of f(n) % 5.

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D b 2 22 Given n2 2 x n then n n11 n Giren xy Beren nay both odd or both even n2 2 2x ... View the full answer