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JEE Main 2015 Mathematics question

MathematicsSequence and SeriesJEE Main 2015

The sum of the and the terms of a G.P. is 60 and the product of its first three terms is 1000. If the first term of this G.P. is positive, then its term is:

Answer: (1)

Solution

Let the first term be and the common ratio . The product of the first three terms is , so — that is, the second term is 10. The other condition is , which factors as ,

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Question ID VK-115379