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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

Suppose four distinct positive numbers are in GP. Let , , and . STATEMENT-1: The numbers are neither in AP nor in GP, *and* STATEMENT-2: The numbers are in HP.

Answer: (C)

Solution

Let the ratio be (, as the terms are distinct positive). Then , , , .

- AP? , ; equal only if . Not AP. - GP? . Not

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Question ID VK-110698