Very easy sumation (calculator allowed)

Algebra Level 4

If \[f(n) = \frac{1}{(n + (n + 1))^2 - n(n + 1)},\]

then find \(\frac { 1 }{ f(1) } +\frac { 1 }{ f(2) } +\frac { 1 }{ f(3) } +...+\frac { 1 }{ f(99) }. \)

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