Question

find the harmonic mean of 1; 1/3 ; 1/5; ......1/2n-1


please solve this​

Answer 1





rjrao

14.07.2018

Math

Secondary School

+5 pts

Answered

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

Answers



Hb20032003pbuoj1 

 

Helping Hand

Harmonic Mean=n/(1/1+1/2+1/3+1/4••••+1/n)



Tardymanchester 

 

Ace

Answer:

The required harmonic mean is   

Step-by-step explanation:

Given : Series - 

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 = 

Step 3- Take the reciprocal of this mean

whose reciprocals is   

→The required harmonic mean is   

Answer 2

Answer:

Hm[1,1/3,1/5,.....1/2n-1]

harmonic mean is reciprocal of arthmetic mean

1,3,5,......2n-1

AM=(first term+last term)/2

AM=(1+2n-1)/2

AM=2n/2

AM=n

so already we discussed harmonic mean is reciprocal of AM

HM=1/n

so the answer is 1/n