# Infinite Geometric Series Calculator

A geometric series is a series where every term bears a constant ratio to its preceding term. The geometric series is represented as a, ar, ar^{2}, ar^{3},...ar^{n}.

## What is an Infinite Geometric Series Calculator?

'**Infinite Geometric Series Calculator**' is an online tool that assists in calculating the sum of an infinite geometric progression. Online infinite geometric series calculator helps you to calculate the sum of an infinite geometric series in a few seconds.

### Infinite Geometric Series Calculator

## How to Use Infinite Geometric Series Calculator?

Please follow the below steps to find the sum of infinite geometric series::

**Step 1:**Enter the value of the first term and the value of the common ratio in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the sum of the infinite series.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find Infinite Geometric Series Calculator?

Infinite geometric series is an infinite progression with first term a_{1} and common ratio (r) and if the value of r lies between 0 and 1, that is 0 < r < 1 then we can calculate the sum of the infinite geometric series with the help of below-given formula:

**S _{∞} = a_{1} / (1 - r)**

**Solved Examples on Infinite Geometric Series Calculator**

**Example 1:**

Calculate the sum of given infinite geometric series:

16, 8, 4, 2, 1, 0.5, ................

**Solution:**

In the given geometric series

The value of first term a_{1} = 16

And the common ratio r = 0.5

So, the sum of infinite series is = S_{∞} = a_{1} / (1 - r)

S_{∞} = 16 / (1 - 0.5)

S_{∞} = 16 / 0.5

S_{∞} = 32

Thus, the sum of given infinite series is 32.

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