Infinite Geometric Series Calculator is a free online tool that displays the sum of the infinite geometric sequence. CoolGyan’S online infinite geometric series calculator tool makes the calculation faster, and it displays the sum in a fraction of seconds.

## How to Use the Infinite Geometric Series Calculator?

The procedure to use the infinite geometric series calculator is as follows:

**Step 1:** Enter the first term and common ratio in the respective input field

**Step 2:** Now click the button “Calculate” to get the sum

**Step 3:** Finally, the sum of the infinite geometric sequence will be displayed in the output field

### What is Meant by Infinite Geometric Series?

In Mathematics, the infinite geometric series gives the sum of the infinite geometric sequence. It has the first term (a_{1}) and the common ratio(r). It has no last term. If the common ratio of the infinite geometric series is more than 1, the number of terms in the sequence will get increased. In this case, if you try to add larger numbers many times, the series will result in infinity. The general term to represent the infinite geometric sequence is given by as a+ar+ar^{2}+ ar^{3}+ ….

Hence, the sum of the infinite geometric series with the common ratio -1<r< 1 is given by:

S = a_{1}/(1-r)