Answers

2016-07-19T21:49:41+08:00
24,36,54 are the geometric means. The common ratio is 3/2.
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2016-07-20T13:45:40+08:00
The sequence is:  16,  a₂,  a₃,  a₄,  81

Step 1:  Find the common ration, r.
              r = 3/2

Step 2:  Solve for the means a₂, a₃, and a₄.

a₂ = a₁ (3/2)
    = 16 (3/2)
    = 24

a₃ = a₂ (3/2)
    = 24 (3/2)
    = 36

a₄ = a₃ (3/2)
    = 36 (3/2)
    = 54

The common ratio (r) is 3/2.
The three geometric means are 24,  36,  54.
The sequence is 16, 24, 36, 54, 81.

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