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JEE Main 2015 Mathematics question

MathematicsSequence and SeriesJEE Main 2015

Let the sum of the first three terms of an A.P. be 39 and the sum of its last four terms be 178. If the first term of this A.P. is 10, then the median of the A.P. is :

Answer: (2)

Solution

With , the first three terms sum to , so and . Let the A.P. have terms. The last four are , whose sum is . Setting this equal to 178

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Question ID VK-115288