Musigma Aptitude AP,GP,HP Quiz-2

To find the harmonic mean of a set of numbers, we

• take their reciprocals


• find out the mean of the reciprocals


• take the reciprocal of this mean

Now, for $1,\frac{1}{2},\frac{1}{3},...,\frac{1}{n}$

• the reciprocals are $1,2,3,...,n$


• their mean is $\frac{1}{n}(1+2+3+...+n)=\frac{n+1}{2}$


• whose reciprocal is $\frac{\mathrm{2/}}{n+1}$

The required harmonic mean is $\frac{\mathrm{2/}}{n+1}$