# Infinite Geometric Series Calculator

**$\sum_{i = 1}^{\infty}$ a**

_{i }r^{i -1}= a + ar + ar^{2 }+ ar^{3}+ ar^{4}+........+ ar^{i-1}+ ........**$S_{\infty}$ =**

**$\frac{a}{1-r}$**

**a**is the first term and

**r**is common ratio.

**Infinite Geometric Series Calculator is a online tool to calculate the sum of the given geometric series. You just have to enter the value of first term a and the common ratio r and get the sum of the infinite geometric series $S_\infty$ instantly.**The series gets converged if common ratio r lies between -1 and 1 else it diverges.