Find the sum of the first n terms of the series : \( 1 + \frac{5}{2.3} 2 + \frac{10}{3.4} 2^{2} + \frac{17}{4.5} 2^{3} + \ldots \)

A \( \left ( \frac{2^{n + 1}}{n + 1} \right ) \)

B \( \frac{n 2^{n}}{n + 1} \)

C \( \frac{2^{n + 1}}{3} \)