Find the Sum of the Infinite Geometric Series 3/2 , 15/4 , 75/8 , 375/16

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by ${\displaystyle \frac{5}{2}}$ gives the next term. In other words, ${\displaystyle a_n=a_1{r}^{n-1}}$.