Question: (a) Prove that m + 2n = 36 has no solution in positive integers. (b) Prove that for every n e Z, n +

(a) Prove that m + 2n = 36 has no solution in positive integers. (b) Prove that for every n e Z, n + n is even. (c) Prove that for all ne Z, n is odd if and only if n + 2 is odd. (d) Prove that the product of two consecutive integers is even.

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