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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

The sum of three consecutive terms in a geometric progression is . If is added to each of the first and second terms and is subtracted from the third, the resulting new terms are in A.P. Find the highest of the original terms.

Answer: 8

Solution

Let the GP terms be : ; the new terms in AP give . Then , so and , i.e. or

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Question ID VK-022056