Suppose the harmonic mean of two numbers is the reciprocal of the average of the reciprocals of the two numbers. Find the harmonic mean of 3 and 5.
Harmonic mean = n1a1+1a2+1a3+1a4+.....+1an where n is a set of numbers
For the numbers 3 and 5,
harmonic mean =213+15Substitute n=2,a=3 and a2=5harmonic mean =2815Get the LCDharmonic mean =308Multiply by its reciprocalharmonic mean =154Simplify
Friday, August 14, 2015
College Algebra, Chapter 9, 9.2, Section 9.2, Problem 58
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