Special series

Calculus Level 4

\[\large 1+\frac { 1 }{ 5 } +\frac { 1\times 3 }{ 5\times 10 } +\frac { 1\times 3\times 5 }{ 5\times 10\times 15 } + \ldots \]

If the square of the series above equals to \({\dfrac ab}\) for coprime positive integers \(a,b\), what is the value of \(a+b\).

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