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CBSE Class 11-science Answered

Find three geometric means between the numbers 3 and 48.
Asked by Topperlearning User | 25 Sep, 2017, 03:17: PM
answered-by-expert 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 | 25 Sep, 2017, 05:17: PM

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