Answer
$5115$
Work Step by Step
Here, we have $a_n=5(2)^{i-1}$ and $a_1=5(2)^{1-1}=5$
Common ratio $r=2$
Now, $S_{10}=a_1(\dfrac{1-r^{10}}{1-r})$
or, $S_{10}=5 \times (\dfrac{1-2^{10}}{1-2})$
or, $S_{10}=5 \times (\dfrac{1-1024}{-1})=5115$