The harmonic mean of n numbers is the reciprocal of the arithmetic mean of the reciprocals of these n numbers.
The harmonic mean can be derived using the concept of arithmetic mean.
If a, b and c are in HP, b is the harmonic mean of a and c
The reciprocals of a, b and c are in AP
As we know than the difference of the two consecutive numbers in an AP is the same. So
Hence, the harmonic mean for two numbers is given by
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