Harmonic Mean

Rarely Tested

Harmonic Mean

  • Harmonic Mean = $$\dfrac{n}{\frac{1}{x_{1}}+\frac{1}{x_{2}}+\frac{1}{x_{3}}+...+\frac{1}{x_{n}}}$$
  • If a, b, c, d...are the given numbers in H.P then the Harmonic mean of 'n' terms=$$\frac{Number  of  terms}{\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+....}$$
  • If two numbers a and b are in H.P then the Harmonic mean= $$\frac{2ab}{a+b}$$
Question 1

Find the harmonic mean between 8 and 56 ?

Question 2

If 12, 20 are geometric mean and Arithmetic mean between two numbers then find the Harmonic mean between them ?

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