The common difference of the AP \frac{1}{3} , \frac{1 - 3 b}{3} , \frac{1

Foundation

Mathematics Foundation

nth term of AP

Question

The common difference of the $AP \frac{1}{3}, \frac{1 - 3 b}{3}, \frac{1 - 6 b}{3}, . ...$ is

$\frac{- 1}{3}$

– b

$\frac{1}{3}$

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$d = {\frac{1 - 3 b}{3} - \frac{1}{3}} = (\frac{1 - 3 b - 1}{3}) = \frac{- 3 b}{3} = - b .$