Answer
No sum
Work Step by Step
Here, we have $a_n= a_1 r^{n-1}$ for the Geometric series.
First term $a_1= \dfrac{4}{15}$ and Common ratio $r=\dfrac{5}{3}$
The sum of an infinite Geometric Series can be found using: $S_n=\dfrac{a_1}{1-r}$
Here, $r=\dfrac{5}{3} \gt 1$
Thus, there is no sum.
