Sum of series problem

[Rostron]

I am having some trouble finding the sum of an infinite geometric series problem. Any help is appreciated!
If x=2, find the sum of the series.

\(\displaystyle \infty\)
\(\displaystyle \Sigma\) \(\displaystyle \frac {(-1)^n(2x-3)^n}{4^n}\)
n = 0

 

[pka]

\(\displaystyle \L x = 2\quad \Rightarrow \quad \sum\limits_{n = 0}^\infty {\left( {\frac{{ - 1}}{4}} \right)^n }.\)

That is just a geometric series.