To prove:

The sum of the first n even squares, less the sum of the first n squares, is equal to the nth square, plus the nth cube, plus the nth triangular number.

The sum of the first n odd squares, less the sum of the first n squares, is equal to the nth cube, less the nth triangular number.

first n odd squares sum to:

Edited on November 23, 2022, 11:15 am

Posted by Steven Lord on 2022-11-23 11:14:40