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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

If there be quantities in G.P. whose common ratio is and denotes the sum of the first terms, then the sum of their products, taken two by two is

Answer: (B)

Solution

For the terms the sum of products two at a time is ; for it is , and . In general, with and

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Question ID VK-021935