3.) Prove: Given an integer n, show that a. If n is even, then n - 1 is odd. b. If n - 1 is odd, then n² is even. c. Ifn? is even, then n is also even.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3.) Prove: Given an integer n, show that
a. If n is even, then n - 1 is odd.
b. Ifn - 1 is odd, then n2 is even.
c.
If n? is even, then n is also even.
C.
Transcribed Image Text:3.) Prove: Given an integer n, show that a. If n is even, then n - 1 is odd. b. Ifn - 1 is odd, then n2 is even. c. If n? is even, then n is also even. C.
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