Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Skill Practice - Page 823: 14

No sum

Here, we have $a_n= a_1 r^{n-1}$ for the Geometric series. In this problem we have Common ratio $r=\dfrac{-10}{3}$ The sum of an infinite Geometric Series can be found using: $S_n=\dfrac{a_1}{1-r}$ Here, $r=\dfrac{-10}{3} \gt 1$ Thus, there is no sum, that is $S_n=0$