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If $1 / 4,1 / x, 1 / 10$ are in HP, then what is the value of $x$?
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The correct answer is:
7
Since $\frac{1}{4}, \frac{1}{x}, \frac{1}{10}$ are in H.P.
$\therefore 4, \mathrm{x}, 10$ are in $\mathrm{AP}$
$\Rightarrow 2 \mathrm{x}=4+10 \Rightarrow \mathrm{x}=\frac{14}{2}=7$
$\therefore 4, \mathrm{x}, 10$ are in $\mathrm{AP}$
$\Rightarrow 2 \mathrm{x}=4+10 \Rightarrow \mathrm{x}=\frac{14}{2}=7$
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