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JEE Advanced 2011 Mathematics question

MathematicsSequence and SeriesJEE Advanced 2011

Let be an arithmetic progression with and , . For any integer n with , let . If does not depend on n, then is

Answer: 9

Solution

With common difference d: and . So . This is independent of n only if the expression does not vary with n: either $d =

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Question ID VK-025938