###
**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**

## Show Answer

Solution(By Apex Team)

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

## Related Questions On Progressions

### How many terms are there in 20, 25, 30 . . . . . . 140?

A. 22B. 25

C. 23

D. 24

### Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.

A. 5B. 6

C. 4

D. 3

### Find the 15th term of the sequence 20, 15, 10 . . .

A. -45B. -55

C. -50

D. 0

### The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

A. 600B. 765

C. 640

D. 680