Between two positive real nos. a and b there are 2 G.M's G_1 and G_2 and a single A.M A.The G.M between G_1 and G_2 is M.Can you prove that M^3=ab(A^3)?
1 Answer
Jan 8, 2018
Counterexample
Explanation:
If I understand the problem right, this result is not true.
Example: Let
Then
The common ratio for the geometric means is r = 4, and
Of course
Now the Geometric Ratio between
so that
But the right side is much larger, containing
Did I misunderstand what you asked?