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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

Three numbers form a GP. If the term is decreased by , then the three numbers thus obtained will constitute an AP. If the second term of this AP is decreased by , a GP will be formed again, then the numbers will be

Answer: (C)

Solution

Let the GP be ; the AP condition gives , and the second GP condition gives . Dividing, ,

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Question ID VK-021721