If S = 1/3^2+1 + 1/4^2+2 + 1/5^2+3 + 1/6^2+4 + ......∞

Question

If \(S = \frac1{3^2 + 1} +\frac1{4^2+2} + \frac1{5^2 + 3} + \frac1{6^2+4}+.....\infty\) then the value of [1/S] is _____.

Answer 1

Correct answer is 2.