2015 · Q41
If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?
Elementary MathematicsStatistics
- AG is the geometric mean between A and H
- BA is the arithmetic mean between G and H
- CH is the harmonic mean between A and G
- DNone of the above
Explanation
G² = ab and A·H = ((a+b)/2)·(2ab/(a+b)) = ab, so G² = AH — G is the geometric mean of A and H (option A).