Answer
$19530$
Work Step by Step
The general formula to find the sum of a finite geometric sequence is given as: $ S_{n}=\dfrac{a_1(1-r^n)}{1-r}$
Here, $ a_1=5$ and $ r=5$
Plug $ n=6$
$ S_{n}=\dfrac{a_1(1-r^n)}{1-r}$
Now, $ S_{5}=\dfrac{5 \times [1-(5)^6]}{1-5}=19530$
