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JEE Main 2014 Mathematics question

MathematicsSequence and SeriesJEE Main 2014

In a geometric progression, if the ratio of the sum of first 5 terms to the sum of their reciprocals is 49, and the sum of the first and the third term is 35. Then the first term of this geometric progression is:

Answer: (3)

Solution

For n terms of a G.P., the ratio of the sum to the sum of the reciprocals is . With n = 5 this gives , so (taking the

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Question ID VK-104498