Infinite series is that where the sum of the given geometric series is infinite. It will be of the form
$\sum_{i = 1}^{\infty}$ ai r i -1 = a + ar + ar2 + ar3 + ar4 +........+ ari-1 + ........

The sum of the infinite geometric series for -1<r<1 is given by

$S_{\infty}$ = $\frac{a}{1-r}$

where 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.

Infinite Geometric Series Steps

Lets see how to find the sum of the infinite geometric series:
Step 1: Read the problem and note down the given series, first term a and common ratio r.

Step 2:
To calculate the infinite geometric series use formula
$S_\infty$ =$\frac{a}{1 - r}$
Substitute the values in above formula and get the answer.
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