Even/odd Proofs - University of Illinois Urbana-Champaign
1. Sums and products of even/odd numbers. Prove the following statements: (a) If n and m are both odd, then n+ m is even. (b) If n is odd and m is even, then n+ m is odd. (c) If n and m are both even, then n+ m is even. (d) If n and m are both odd, then nm is odd; otherwise, nm is even. 2. Even/odd squares: Prove the following: (a) Let n be an ... ................
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