Find a General Term for the Geometric Sequence $\frac{1}{2}, \frac{1}{6}, \ldots$

Multiple Choice

Find a general term for the geometric sequence.
- $\frac{1}{2}, \frac{1}{6}, \ldots$

A) $a_{n}=\frac{1}{4 n-2}$

B) $a_{n}=\frac{1}{3}\left(\frac{1}{2}\right) ^{n-1}$

C) $\mathrm{a}_{\mathrm{n}}=\frac{1}{2}\left(\frac{1}{3}\right) ^{\mathrm{n}-1}$

D) $\mathrm{a}_{\mathrm{n}}=\frac{1}{2}\left(\frac{1}{3}\right) ^{1-\mathrm{n}}$