Question

Find the common diffrence of ap 1/b, 3-b/3b

Answer 1

We know that common difference = Second term - First term .

Common difference = 3-b/3b - 1/b

= 3-b-3/3b

= -b/3b

= -1/3 .

Therefore, The common difference is -1/3

Answer 2

Given AP,
$\frac{1}{b}, \frac{3-b}{3b}$

$a_{1} = \frac{1}{b}$

$a_{2} = \frac{3-b}{3b}$

Common difference,d = $a_{2} - a_{1}$

= $\frac{3-b}{3b} - \frac{1}{b}$

= $\frac{3-b}{3b} - \frac{3}{3b}$

= $\frac{3-b-3}{3b}$

= $\frac{-b}{3b}$

d = $\frac{-1}{3}$

Hope it helps