$\"\"$

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The sum of a geometric series is $\"\"$ ,Where $\"\"$ is first term and r is common ratio.

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The given values $\"\"$ .

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$\"\"$ (Apply alternate sum formula)

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

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

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

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$\"\"$ (Multiply each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Subtract 32 from each side)

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$\"\"$ (Simplify)

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

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The value of $\"\"$ .