$\"\"$

The geometric series is $\"\"$ to 7 terms.

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

The fi $\"\"$ is first term and r is common ratio $\"\"$ .

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

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

$\"\"$ (Add denominator: 1 + 2 = 3)

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

$\"\"$ (Add numerator: 1 + 128 = 129)

$\"\"$ (Cancel common terms) $\"\"$

The sum of the geometric series is 129.