Question

Choose the correct answer in each of the following questions:

The common difference of the AP $\frac{1}{p},\frac{1-p}{p},\frac{1-2p}{p},...$ is [CBSE 2013]

(a) p (b) −p (c) −1 (d) 1

Answer 1

The given AP is $\frac{1}{p},\frac{1-p}{p},\frac{1-2p}{p},...$ .

∴ Common difference, d = $\frac{1-p}{p}-\frac{1}{p}=\frac{1-p-1}{p}=\frac{-p}{p}=-1$

Hence, the correct answer is option C.