Infinite sum?

Algebra Level 3

Find the value of \[\small \left(\frac { 1 }{ 1 } +\frac { 1 }{ 1+2 } +\frac { 1 }{ 1+2+3 } +\frac { 1 }{ 1+2+3+4 } +\frac { 1 }{ 1+2+3+4+5 } +\ldots\right)^{ 2 }\]

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