In a GP, the first term is $312\large\frac{1}{2}$, the common ratio is $\large\frac{1}{2}$. Find the sum of the series to $\infty$ terms.

Question

$\begin{array}{1 1} 625 \\ {312}\;\frac{1}{2} \\ 1250 \\ \infty \end{array}$