$\"\"$

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

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

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

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$\"\"$ .

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

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$\"\"$ (Subtract denominator: $\"\"$ )

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$\"\"$ (Evaluate power: $\"\"$ )

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$\"\"$ (Subtract numerator: $\"\"$ )

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Divide: $\"\"$ .

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$\"\"$

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$\"\"$

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