Use the Formula For $\mathbf{S}_{\mathbf{n}}$ To Find the Sum for the Geometric Sequence

Use the formula for $\mathbf{S}_{\mathbf{n}}$ to find the sum for the geometric sequence.
- $3, \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{16}$

A) $\frac{45}{8}$

B) $\frac{31}{16}$

C) $\frac{93}{16}$

D) $\frac{45}{16}$