Find the First Four Terms of the Given Sequence $a_{1}=5, a_{n}=\frac{(-1)^{n-1}}{a_{n}-1}$

Multiple Choice

Find the first four terms of the given sequence.
- $a_{1}=5, a_{n}=\frac{(-1) ^{n-1}}{a_{n}-1}$

A) - $5, \frac{1}{2},-\frac{1}{3}, \frac{1}{4}$

B) $5,-\frac{1}{5},-5, \frac{1}{5}$

C) $5,-\frac{1}{5}, 5,-\frac{1}{5}$

D) $5,-\frac{1}{5}, \frac{1}{25},-\frac{1}{125}$