Answer
Diverges
Work Step by Step
Here, common ratio:$r=-2$ first term is: $a=1$
Formula to calculate the Nth partial sum of a geometric series is
$s_n=\dfrac{a(1-r^n)}{1-r}$
Formula to calculate the Sum of a geometric series can be found as:
$S=\dfrac{a}{1-r}=\dfrac{1}{1-(-2)}=\dfrac{1}{3}$
This is a geometric series with$|r| \gt 1$, hence, it is divegent.
