Question

what is the HM(harmonic mean) of 1,1/1,2/1,3/...............1/n?

Answer 1

Answer:

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

Step-by-step explanation:

Given : Series - $1,\frac{1}{2},\frac{1}{3},.................,\frac{1}{n}$

To find : Harmonic mean

Steps to find harmonic mean :

Step 1 -Take their reciprocals  of the series

1,2,3.......,n

Step 2- Find out the mean of the reciprocals

Their mean = $\frac{1+2+3+.....+n}{n}=\frac{n+1}{2}$

Step 3- Take the reciprocal of this mean

whose reciprocals is   $\frac{2}{n+1}$

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