Prove that if n is a positive integer then n is even if and only if 7n+4 is even.

Prove that if n is a positive integer then n is even if and only if 7n+4 is even.

Perfect Square Proof

Prove that 2 * 10^500 + 15 or 2 * 10^500 + 16 is not a perfect square. Is your proof constructive or nonconstructive? Note: ^ is to the power of

Prove that these four statements are equivalent: i)n^2 is odd, (ii) 1 - n is even, (iii) n^3 is odd , (iv) n^2 +1 is even

Prove that these four statements are equivalent: i) n^2 is odd, (ii) 1 - n is even, (iii) n^3 is odd , (iv) n^2 +1 is even

Methods of proof

Prove that the square of an even number is an even number using: a) a direct proof b) an indirect proof c) proof by contradiction

Methods of proof

Prove that if n is a positive integer, then n is even if and only if 7n+4 is even