# What is the HM of 1,1/2,1/3.....1/n?

##### 1 Answer

Jun 8, 2018

#### Explanation:

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

- the reciprocals are
#1,2,3,...,n# - their mean is
#1/n(1+2+3+...+n) = (n+1)/2# - whose reciprocal is
#2/(n+1)#

The required harmonic mean is