# Can you sum this?

Algebra Level 4

$\large{S = \dfrac{3^2 + 1}{3^2 - 1} + \dfrac{5^2 + 1}{5^2 - 1} + \dfrac{7^2 + 1}{7^2 - 1} + \ldots + \dfrac{2015^2 + 1}{2015^2 - 1}}$

If $$S$$ can be expressed as $$\dfrac{A}{B}$$ for positive coprime integers $$A,B$$, then find the value of $$A+B$$.

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