JEE Main 2022 Mathematics question

MathematicsSequence and SeriesJEE Main 2022

Different A.P.'s are constructed with the first term 100, the last term 199, and integral common differences. The sum of the common differences of all such A.P.'s having at least 3 terms and at most 33 terms is .

Answer: 53

Solution

With n terms the common difference is d = 99/(n − 1), which must be an integer, with , so (n − 1) is a

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Question ID VK-025102