Question
If A and G are respectively the A.M. and G.M. between the two distinct positive numbers are a and b, then Prove A>G.
Solution
Since A is the A.M. between a and b
∴ A = ...(i)
Since G is the G.M. between a and b
∴ G = ...(ii)
A - G =
∴ A - G > 0 A > G