MCQ
The common difference of the $\text{AP}\frac{1}{\text{3}},\frac{1-3\text{b}}{\text{3}},\frac{1-6\text{b}}{\text{3}},....$ is :
- A$\frac{1}{3}$
- B$\frac{-1}{3}$
- C$\text{b}$
- ✓$-\text{b}$
✓
Answer
Correct option: D.
$-\text{b}$
Common difference
$=\frac{1-3\text{b}}{3{}}-\frac{1}{3}$
$=\frac{1-3\text{b}-1}{3}$
$=\frac{-3\text{b}}{3}$
$= -\text{b}$
$=\frac{1-3\text{b}}{3{}}-\frac{1}{3}$
$=\frac{1-3\text{b}-1}{3}$
$=\frac{-3\text{b}}{3}$
$= -\text{b}$
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