Question

. If -5, k, -1 are in AP then find the value of k. ​

Answer 1

       $\underline{\bold{Solution:}}$

       $\text{It is given that }-5,k,-1 \text{ are in AP}$

       $\text{We know that any term in an AP is the mean of its previous and next}$

$\implies k = \dfrac{-5+(-1)}{2}$

$\implies k = \dfrac{-5-1}{2}$

$\implies k = \dfrac{-6}{2}$

$\implies \boxed{k = -3}$