Answer
$\frac{341}{128}=2.66$
Work Step by Step
The general formula to find the sum of a finite geometric sequence is given as: $ S_{n}=\dfrac{a_1(1-r^n)}{1-r}$
Here, $ a_1=2$ and $ r=\dfrac{1}{4}$
Plug $ n=5$
$ S_{n}=\dfrac{a_1(1-r^n)}{1-r}$
Now, $ S_{5}=\dfrac{2 \times [1-(\dfrac{1}{4})^5]}{1-\dfrac{1}{4}}=\frac{341}{128}=2.66$
