Pythagorean Odds

Algebra Level 1

Consider the following sequence of all positive odd numbers: \(1, 3, 5, 7, 9, 11, 13, \ldots.\)

The sum of the first 3 terms is equal to 9: \(1+3+5=9.\)
The sum of the first 5 terms is equal to 25: \(1+3+5+7+9=25.\)