Practice MCQ Questions and Answer on Progressions

91.

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

(A) $\frac{1}{3}$
(B) $- \frac{1}{3}$
(C) $- b$
(D) $b$

Solution: $\begin{aligned} A .P .is \frac{1}{3}, \frac{1 - 3 b}{3}, \frac{1 - 6 b}{3}, . . . . . . \\ \Rightarrow \frac{1}{3}, \frac{1}{3} - \frac{3 b}{3}, \frac{1}{3} - \frac{6 b}{3}, . . . . . . \\ \Rightarrow \frac{1}{3}, \frac{1}{3} - b, \frac{1}{3} - 2 b, . . . . . . . \\ ∴ d = (\frac{1}{3} - b) - \frac{1}{3} \\ = \frac{1}{3} - b - \frac{1}{3} \\ = - b \end{aligned}$

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Practice MCQ Questions and Answer on Progressions

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