The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. there are 50 red tacks. how many blue tacks are on the board?

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