Elementary Summation

Algebra Level 3

If \[\frac{1}{3^{2}+1}+\frac{1}{4^{2}+2}+\frac{1}{5^{2}+3}+.........................=\frac{m}{n}\]

where \(m\) and \(n\) are co- prime positive integers Find the value of \(m+n\)

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