Question: Prove that if n is an integer, these four statements are equivalent: (i) n is even, (ii) n + 1 is odd, (iii) 3n +

Prove that if n is an integer, these four statements are equivalent: (i) n is even, (ii) n + 1 is odd, (iii) 3n + 1 is odd, (iv) 3n is even.

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