JEE Main 2022 Mathematics question

MathematicsSequence and SeriesJEE Main 2022

Suppose , , ... , ... be an arithmetic progression of natural numbers. If the ratio of the sum of first five terms to the sum of first nine terms of the progression is 5 : 17 and , then the sum of the first ten terms of the progression is equal to

Answer: (2)

Solution

gives , so and . Then

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Question ID VK-034421