If $2 x, x + 8, 3 x + 1$ are in A.P. then the value of $x$ will be

$3$

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$7$

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$5$

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$- 2$

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Solution

The correct option is C
$5$

Explanation for the correct option:
Find the value of $x$ :
Given that, $2 x, x + 8, 3 x + 1$ are in A.P
$\Rightarrow$ $b - a = c - b$
$\Rightarrow$ $x + 8 - 2 x = 3 x + 1 - x - 8$
$\Rightarrow$ $3 x = 15$
$\begin{array}{rcl} ∴ x & = & \frac{15}{3} \\ = & 5 \end{array}$
Hence, Option ‘C’ is Correct.

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