JEE Main 2022 Mathematics question

MathematicsSequence and SeriesJEE Main 2022

Consider two G.P.s 2, , , .... and 4, , , ... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is , then k(n − k) is equal to

Answer: (3)

Solution

The product of the first set is = and of the second set is = . The geometric mean of all 60 + n terms is = , so $ + n +

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Question ID VK-025169