Answer
$-32,767$
Work Step by Step
We have to compute the sum of the geometric sequence:
$-1-2-4-8-....-2^{14}$
The sum can be written as:
$\sum_{n=1}^{15} (-1)\cdot 2^{n-1}$
The elements of the geometric sequence are:
$a_1=-1$
$r=2$
$n=15$
Use a graphing utility to find the sum of the geometric sequence:
$sum\left(seq\left(-1\cdot 2^{n-1},n,1,15\right)\right)=-32,767$
