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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

Let be in AP; be in GP and be in HP. If and then

Answer: (A),(B),(C)

Solution

, , . - (a) ✓: (always).

Now . Then , . If there is no solution of below, so ; with the usual convention that the geometric mean of

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Question ID VK-107883