Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Skill Practice - Page 823: 8

$0$

Here, we have $a_n= a_1 r^{n-1}$ for the Geometric series. In this problem we have common ratio $r=\dfrac{3}{2}$ The sum of an infinite Geometric Series can be found using: $a_n=\dfrac{a_1}{1-r}$ Here, $r=\dfrac{3}{2} \gt 1$ Thus, there is no sum, that is $S_n=0$.