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The common difference of the A.P. is $\frac{1}{2 q}, \frac{1-2 q}{2 q}, \frac{1-4 q}{2 q}$…..is?

A. -1 B. 1 C. q D. 2q Answer: Option A
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Solution(By Apex Team)

$\begin{aligned}&\text{ A.P. is }\frac{1}{2q},\frac{1-2q}{2q},\frac{1-4q}{2q},\ldots\\ &\Rightarrow\frac{1}{2q},\left(\frac{1}{2q}-1\right),\left(\frac{1}{2q}-2\right),\ldots\\ &\text{ Clearly }d=\left(\frac{1}{2q}-1\right)-\frac{1}{2q}\\ &=\frac{1}{2q}-1-\frac{1}{2q}\\ &=-1\end{aligned}$

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