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The common difference of the A.P. $\frac{1}{2 b}, \frac{1-6 b}{2 b}, \frac{1-12 b}{2 b}$,…… is

A. 2b B. -2b C. 3 D. -3 Answer: Option D
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Solution(By Apex Team)

$\begin{aligned}&\text{ Arithmetic Progression is}\\ &\frac{1}{2b},\frac{1-6b}{2b},\frac{1-12b}{2b},\ldots\\ &\Rightarrow\frac{1}{2b},\frac{1}{2b}-\frac{6b}{2b},\frac{1}{2b}-\frac{12b}{2b},\ldots\\ &\Rightarrow\frac{1}{2b},\frac{1}{2b}-3,\frac{1}{2b}-6,\ldots\\ &\therefore d=\frac{1}{2b}-3-\frac{1}{2b}=-3\end{aligned}$

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