Question

Very-Short and Short-Answer Questions

If k, (2k − 1) and (2k + 1) are the three successive terms of an AP, find the value of k. [CBSE 2014]

Answer 1

It is given that k, (2k − 1) and (2k + 1) are the three successive terms of an AP.
$$\begin{gathered} \therefore \left(2k-1\right)-k=\left(2k+1\right)-\left(2k-1\right) \\ \Rightarrow k-1=2 \\ \Rightarrow k=3 \end{gathered}$$

Hence, the value of k is 3.