Which of the following number(s) represents one of the 4 geometric means inserted between 2 and 486.
A
6
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B
18
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C
54
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D
172
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Solution
The correct option is C 54 If n geometric means are inserted between a and b, then the common ratio r is r=(ba)1n+1Herea=2,b=486,andn=4∴r=(4862)14+1=(343)1/5=(35)1/5=3.
Hence, the four geometric means between 2 and 486 are 6, 18, 54, 162.