We know that if n is odd, n = 2k + 1 for some integer k. We also know that if n is even, n = 2k for some integer k. Prove that if n is an odd integer and m is an even integer, then n2 + 3n + nm + 1 is odd. Justify each step of your proof. Use the definitions of odd and even in your proof.
We know that if n is odd, n = 2k + 1 for some integer k. We also know that if n is even, n = 2k for some integer k. Prove that if n is an odd integer and m is an even integer, then n2 + 3n + nm + 1 is odd. Justify each step of your proof. Use the definitions of odd and even in your proof.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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We know that if n is odd, n = 2k + 1 for some integer k. We also know that if n is even, n = 2k for some integer k.
Prove that if n is an odd integer and m is an even integer, then n2 + 3n + nm + 1 is odd. Justify each step of your proof. Use the definitions of odd and even in your proof.
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