Topic: indirect proof

One item is filed under this topic.

1)by mathematical induction prove that 1^{2} + 3^{2 }+ 5^{2 }+ ...... + (2k-1)^{2} = (1/3)k(2k-1)(2k+1) for all positive integers k.

2)show that the contrapositive of the following statement is true. if 1 + M^{7} is even, then M is odd.