Answer
$4$
Work Step by Step
Formula to calculate the Nth partial sum of a geometric series is
$s_n=\dfrac{a(1-r^n)}{1-r}$
Here, $a=5, r=-\dfrac{1}{4}$
Formula to calculate the Sum of a geometric series is:
$S=\dfrac{a}{1-r}=\dfrac{5}{1-(-\dfrac{1}{4})}$
or, $S=\dfrac{5}{\dfrac{5}{4}}=4$
