JEE Main 2025 Mathematics question

MathematicsSequence and SeriesJEE Main 2025

Suppose that the number of terms in an A.P is 2k, . If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55 and the last terms of the A.P. exceeds the first term by 27, then k is equal to

Answer: (1)

Solution

Solving with and the sum equations gives .

Question ID VK-001747