Harmonic Progression

The formula for the harmonic mean (H.M.) of

n

numbers

x_1%2C%20x_2%2C%20%5Cldots%2C%20x_n

is:

%5Ctext%7BH.M.%7D%20%3D%20%5Cfrac%7Bn%7D%7B%5Cfrac%7B1%7D%7Bx_1%7D%20%2B%20%5Cfrac%7B1%7D%7Bx_2%7D%20%2B%20%5Ccdots%20%2B%20%5Cfrac%7B1%7D%7Bx_n%7D%7D

For the given numbers 5, 10, and 15, the harmonic mean is:

%5Ctext%7BH.M.%7D%20%3D%20%5Cfrac%7B3%7D%7B%5Cfrac%7B1%7D%7B5%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B15%7D%7D%20%3D%20%5Cfrac%7B3%7D%7B%5Cfrac%7B6%20%2B%203%20%2B%202%7D%7B30%7D%7D%20%3D%20%5Cfrac%7B3%7D%7B%5Cfrac%7B11%7D%7B30%7D%7D%20%3D%20%5Cfrac%7B3%20%5Ctimes%2030%7D%7B11%7D%20%3D%20%5Cfrac%7B90%7D%7B11%7D%20%5Capprox%208.18

Chapter Questions
1 MCQs