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JEE Main 2022 Mathematics question

MathematicsSequence and SeriesJEE Main 2022

If (> 0), , , , are in a G.P., and , then is equal to .

Answer: 40

Solution

Let the G.P. be a, ar, , …. From : , so and r = −1 or 3/2. Since and the terms must satisfy the other condition, r = 3/2.

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Question ID VK-025280