Question

what is the common difference of the AP, 1/b, 3-b/3b, 3-2b/3b?

Answer 1

B) is the only alternative

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Answer 2

Answer:

The common difference of the AP is $-\frac{1}{3}$.

Step-by-step explanation:

The given AP is

$\frac{1}{b}, \frac{3-b}{3b},\frac{3-2b}{3b}$

Common difference of the given AP is

$d=a_2-a_1$

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

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

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

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

Therefore the common difference of the AP is $-\frac{1}{3}$.