6. (25 points) Let n be a positive integer. (a) (7 points) Prove that 3n – 6 is odd if and only if n is odd. (b) (8 poin
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6. (25 points) Let n be a positive integer. (a) (7 points) Prove that 3n – 6 is odd if and only if n is odd. (b) (8 poin
6. (25 points) Let n be a positive integer. (a) (7 points) Prove that 3n – 6 is odd if and only if n is odd. (b) (8 points) Prove that n is odd if and only if nº is odd. (c) (10 points) Prove that n3 is odd if and only if 3n - 6 is odd.
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