$\"\"$

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The sum of an infinite geometric series is S = 81.

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Common ratio of $\"\"$ .

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Apply sum of an infinite geometric series formula: $\"\"$ .

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$\"\"$ (Substitute S = 81 and $\"\"$ )

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

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Apply multiplication property of equality: If a = b then $\"\"$ .

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

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$\"\"$ (Cancel common terms)

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

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The 1st term of the series is $\"\"$ .

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The 2nd term of the series is $\"\"$ .

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

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

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The 3rd term of the series is $\"\"$ .

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

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

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The first three terms of the series are 27, 18, 12.