# Choose the correct answer in each of the following questions:

Question:

Choose the correct answer in each of the following questions:

The common difference of the AP $\frac{1}{p}, \frac{1-p}{p}, \frac{1-2 p}{p}, \ldots$ is

(a) $p$

(b) $-p$

(c) $-1$

(d) 1

Solution:

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

$\therefore$ 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.