Answer :
The sum of the n terms of the geometric sequence can be solved using the equation
[tex]S_n=a_1\frac{1-r^n}{1-r}[/tex]The values of a1 and r are already provided on the problem. We just substitute it on the equation above and compute for the sum of the geometric equation for n = 5. We have
[tex]S_n=(972)\frac{1-(-\frac{1}{3})^5}{1-(-\frac{1}{3})_{}}=732[/tex]The answer is 732.