**If A is the arithmetic mean and G1 , G2 be two geometric means between any two numbers, then prove that 2A = G21/G2 + G22/G2 .**

###### Answers:

Let the numbers be a and b.

**If A is the arithmetic mean and G1 , G2 be two geometric means between any two numbers, then prove that 2A = G21/G2 + G22/G2 .**

Let the numbers be a and b.