Consider the following theorem: for an integer n, if n is odd, then n^3 is odd....

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Consider the following theorem: for an integer n, if n is odd, then n^3 is odd. (a) Verify the theorem is true using direct proof. (b) Prove the theorem using contradiction: (c) Prove the converse of the theorem. Consider the following theorem: for an integer n, if n is odd, then n^3 is odd. (a) Verify the theorem is true using direct proof. (b) Prove the theorem using contradiction: (c) Prove the converse of the theorem.