Question

The common difference of the AP $\frac{1}{P},\frac{1-P}{P},\frac{1-2P}{P}$, .......... is:

• A. P
• B. -1
• C. -P
• D. 1

Answer 1

The correct option is B -1

Let $a_1=\frac{1}{P}$ , $a_2=\frac{1-P}{P}$ , $a_3=\frac{1-2P}{P}$

$\therefore$ Common difference = $a_2-a_{1}or{a}_3-a_2;$

= $\frac{(1-P)-\left(1\right)}{P};\frac{(1-2P)-(1-P)}{P}$

= $-1$