Answer
$10230$
Work Step by Step
Formula to calculate the sum of the first $n$ terms of a geometric sequence is: $s_n=\dfrac{a(1-r^n)}{(1-r)}$ Here, $r=\dfrac{a_2}{a_1}=\dfrac{5 \cdot 2^2}{5 \cdot 2^1}=2$
As we are given that, $n=10$ Thus, $s_{10}=\dfrac{5 \cdot 2^{1}(1-2^{10})}{(1-2)}$
or, $s_{10}=10230$
