Find three geometric means between the numbers 3 and 48.

Asked by Topperlearning User | 25th Sep, 2017, 03:17: PM

Expert Answer:

Let G1, G2, G3 be three numbers between 3 and 48.

begin mathsize 12px style Hence comma space
5 to the power of th space number space equals space 48
3 straight r to the power of 4 space equals space 48
straight r to the power of 4 space equals space 16
straight r space equals space 2
straight G subscript 1 space equals space 3 cross times 2 space equals space 6
straight G subscript 2 space equals space 3 cross times 2 squared space equals space 12
straight G subscript 3 space equals space 3 cross times 2 cubed space equals space 24 end style
 
Thus, three geometric means between 3 and 48 are 6, 12 and 24.

Answered by  | 25th Sep, 2017, 05:17: PM