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Common Difference

If p, p - 2...

Question

If $p, (p - 2)$ and $3 p$ are in AP, then the value of $p$ is

A

- 3

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B

- 2

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C

3

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D

2

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Solution

The correct option is B $- 2$
Since, given three numbers are in AP, then the common difference between two consecutive terms will be same.
$∴$ $(p - 2) - p = 3 p - (p - 2)$
$\Rightarrow - 2 = 2 p + 2$
or $p = - 2$

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