Generalize for n

Algebra Level 3

\[\large \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}+\dfrac{1}{5\times 7}+\dots+\dfrac{1}{2015\times 2017}=\dfrac{m}{n}\] If \(m\) and \(n\) are coprime integers, then find the value of \(m+n\).

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