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Sagot :

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.