$\"\"$

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The given geometric series $\"\"$ .

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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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Method 1

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

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

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$\"\"$ (Add denominator: 1 + 3 = 4)

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

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$\"\"$ (Add numerator: 1 + 19683 = 19684)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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