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The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is 27/19.

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The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is 27/19. Then the common ratio of this series is :

(1) 2/9

(2) 1/3

(3) 4/9

(4) 2/3

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The correct option is (4) 2/3.

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