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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

The terms form an arithmetic sequence whose sum is . The terms , in that order, form a geometric sequence. Then the absolute value of the sum of all possible common difference of the A.P. is

Answer: 1

Solution

and, with common difference , and ; the GP condition is . This gives , so or . The

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Question ID VK-021760