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JEE Main 2014 Mathematics question

MathematicsSequence and SeriesJEE Main 2014

The number of terms in an A.P. is even, the sum of the odd terms in it is 24 and that the even terms is 30. If the last term exceeds the first term by , then the number of terms in the A.P. is

Answer: (2)

Solution

Let there be 2n terms with first term a and common difference d. The n odd-position terms form an A.P. of common difference 2d: their sum is . The even-position terms give $n[a

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Question ID VK-104679