# How do you find the sum of the infinite geometric series 14-7+7/2-7/4+....?

$\frac{28}{3}$
Common ratio of the series is $- \frac{1}{2}$. Using formula for sum of an infinite geometric convergent series $\frac{a}{1 - r}$, the required sum would be $\frac{14}{1 + \frac{1}{2}} = \frac{28}{3}$