Prove that(a) for all integers n, is even.(b) for all odd integers n, is odd.(c) the sum

Chapter 1, Problem 2

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Prove that(a) for all integers n, is even.(b) for all odd integers n, is odd.(c) the sum of 5 consecutive integers is always divisible by 5.(d) if two nonvertical lines have slopes whose product is then the linesare perpendicular. (e) for all integers n, is divisible by 6.(f) for all integers n, is divisible by 12.

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