$\"\"$

The sum of a geometric series is $\"\"$ ,

Where $\"\"$ is first term and r is common ratio.

The geometric series is $\"\"$ to 5 terms.

$\"\"$ .

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Product of two same signs is positive) $\"\"$

$\"\"$ (Add denominator: $\"\"$ )

$\"\"$ (Evaluate powers: $\"\"$ )

$\"\"$ (Add numerator: $\"\"$ )

Divide: $\"\"$ .

$\"\"$

The sum of the geometric series is 3641.