Chapter: Arithmetic Progression· Mathematics Part 1 (Algebra)
Answer: \(k = 4\)
For consecutive terms of an A.P., twice the middle term = sum of the other two:
\(2 \times 13 = (2k + 1) + (5k - 3) \Rightarrow 26 = 7k - 2 \Rightarrow k = 4\).
(Terms: 9, 13, 17.)