Question

A,b,c are in gp then b is called

Answer 1

Question:

A,b,c are in gp then b is called......

Answer:

If A, b, c are in gp then the middle one is called G.M.(geometric mean) between the other two.

Example:

2,4 ,8 are in G.P

Therefore,

4 is G.M between 2 and 8.

To find the G.M between a and b:

Let G be G.M. between a and b (a>0 , b>0)

∴ a , G , b are in G.P.

$∴\frac{G}{a} = \frac{b}{G} \\ \\∴ {G}^{2} = ab \\ \\ = > G = \sqrt{ab}$