odd number (original) (raw)

The addition of two odd numbers gives an even number, or any even number of odd summands gives an even number as a result. For example, 11+13+17+19=60.

But the multiplication of two odd numbers, or any even amount of odd multiplicands always gives an odd number. For example, 11×13×17×19=46189.

A negative number raised to the power of an odd number gives a negative number. For example, (-1)11=(-1)13=(-1)17=(-1)19=-1 (compare (-1)10=(-1)12=(-1)16=(-1)18=1).

The sum of the first n consecutive positive odd numbers is n2.