Answer
$\approx 1.9954$
Work Step by Step
We have to compute the sum of the geometric sequence:
$\sum_{n=1}^{15} \left(\dfrac{2}{3}\right)^n$
The elements of the geometric sequence are:
$a_1=\dfrac{2}{3}$
$r=\dfrac{2}{3}$
$n=15$
Use a graphing utility to find the sum of the geometric sequence:
$sum\left(seq\left((2/3)^n,n,1,15\right)\right)=\dfrac{28632278}{14348907}\approx 1.9954$
