Step 1:

Infinite geometric series :

The sum of the infinite geometric series is $\"\"$ .

Where $\"\"$ is first term, \ \

$\"\"$ is the common ratio.

The infinite geometric series converges if $\"\"$ . \ \

Then its sum is $\"\"$ .

Step 2:

The infinite geometric series is $\"\"$

The first term of the series, $\"\"$ .

The second term of the series, $\"\"$ .

The common ratio ,

$\"\"$

$\"\"$ .

Since $\"\"$ , the series is converges.

The sum is $\"\"$ .

Substitute the values of $\"\"$ and $\"\"$ in above formula.

Sum $\"\"$

$\"\"$

Solution:

The infinite geometric series is converges and its sum is $\"\"$ .