Answer
$\Sigma_{k=0}^{9}(-\frac{3}{4})^k =.53925$
Work Step by Step
$\Sigma_{k=0}^{9}(-\frac{3}{4})^k =\frac{a(1-(r)^n)}{1-r}$
$a=(-\frac{3}{4})^0=1$
$r=-\frac{3}{4}$
$n= 10$
$$\Sigma_{k=0}^{9}(-\frac{3}{4})^k =\frac{1(1-(-\frac{3}{4})^{10})}{1-(-\frac{3}{4})}=.53925$$
