Answer
$10230$
Work Step by Step
The general formula to find the nth partial sum of a Geometric sequence is given as: $ S_{n}=\dfrac{a(1-r^n)}{(1-r)}$
$ a_1=(5)(2)^{1}=10$ wen $ i=1$
Now, $ S_{10}=\dfrac{(10) \times [1-(2)^{10}]}{(1-2)}=10 \times (\dfrac{-1023}{-1})$
Our answer is: $ S_{10}=10230$