The harmonic mean of the numbers 2, 3, 4 is: | vedclass

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(C) The harmonic mean $(HM)$ of $n$ numbers $x_1, x_2, ..., x_n$ is given by the formula: $HM = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}}$.
For the numb

Vedclass · Accepted Answer

$\frac{36}{13}$

Vedclass · Answer

(C) The harmonic mean $(HM)$ of $n$ numbers $x_1, x_2, ..., x_n$ is given by the formula: $HM = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}}$.
For the numbers $2, 3, 4$,we have $n = 3$.
$HM = \frac{3}{\frac{1}{2} + \frac{1}{3} + \frac{1}{4}}$.
Finding a common denominator for the fractions: $\frac{1}{2} + \frac{1}{3} + \frac{1}{4} = \frac{6 + 4 + 3}{12} = \frac{13}{12}$.
Therefore,$HM = \frac{3}{\frac{13}{12}} = 3 	imes \frac{12}{13} = \frac{36}{13}$.

The harmonic mean of the numbers $2, 3, 4$ is:

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