Answer
$\frac{4}{3}=1.333$
Work Step by Step
The sum of an infinite geometric sequence is given as: $ S=\dfrac{a_1}{1-r}$
Here, $ a_1=2$ and the common ratio is $ r=\dfrac{-1}{2}$
$ S=\dfrac{a_1}{1-r}$
Now,
$ S=\dfrac{2}{1-(-\dfrac{1}{2})}=\dfrac{4}{2+1}=1.333$