The sum of the series, $\frac{1}{2 \cdot 3} + \frac{2}{3 \cdot 4} + \frac{3}{4 \cdot 5} + \ldots$ to $n$ terms is

Question

$\frac{2^{n+1} - 1}{n + 2} + 1$

$\frac{2^{n+1} - 1}{n + 2}$

$\frac{2^{n+1} + 1}{n + 2} + 2$

$\frac{2^{n+1} - 2}{n + 2}$

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