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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

If the sum and product of four positive consecutive terms of a G.P., are and , respectively, then the sum of common ratios of all such GPs is

Answer: (A)

Solution

Write the four terms as with common ratio (their product is ); the sum gives, with , , i.e.

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Question ID VK-022074