Question

find the common difference of the Ap 1/a,1_/a,1_2a/a?​

Answer 1

Question:-

find the common difference of the AP

$\frac{1}{a} \: \: \: \frac{1 - a}{a} \: \: \: \frac{1- 2a}{a}$

Solution:-

Common difference

$= a_{2} - a_{1} \: = a_{3} - a_{2}$

So, here

$\frac{1 - a}{a} - \frac{1}{a} = \frac{((1 - a)a ) - a}{ {a}^{2} }$

$\frac{a - {a}^{2} - a }{ {a}^{2} } = \frac{ - {a}^{2} }{ { \: \: a}^{2} } = - 1$

Final answer:-

Common difference is -1