1^2+4^2+7^2+...+(3N-2)^2 = [n(6n^2-3n-1)/2]   Use mathematical induction to prove the statement is true for all positive integers n, or show why it...

1^2+4^2+7^2+...+(3N-2)^2 = [n(6n^2-3n-1)/2]

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.