Welcome 2016! Part 17
Algebra
Level
4
\[\large S= \dfrac{2^2+1}{2^2-1}+\dfrac{3^2+1}{3^2-1}+ \ldots + \dfrac{2016^2+1}{2016^2-1}\]
If \(S\) denotes the value of the above expression, then find the value of \(\lfloor S \rfloor + 2016\) .
by
Anish Harsha