The common difference of the AP

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Solution

Q.
The common difference of the AP $\frac{1}{2 x}, \frac{1 - 4 x}{2 x}, \frac{1 - 8 x}{2 x}, is :$

1 −2x

2 −2

3 2

4 2x

Ans.
(2)

$G i v e n A P i s \frac{1}{2 x}, \frac{1 - 4 x}{2 x}, \frac{1 - 8 x}{2 x}, \dots \Rightarrow C o m m o n d i f f e r e n c e d = \frac{1 - 4 x}{2 x} - \frac{1}{2 x} = \frac{1 - 4 x - 1}{2 x} = \frac{- 4 x}{2 x} = - 2$

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