Insert three geometric means between 96 and 6.

12, 24, 48

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8, 16, 32

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8, 24, 36

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12, 24, 36

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6, 16, 96

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Solution

The correct option is A 12, 24, 48
Soln:

With insertion of three G.M.s we get a GP with 5 terms

$6,_,_,_, 96$

If the common ratio is r,

$96 = 6 (r)^{4}$

$r^{4} = 16, r = 2$

So, the geometric means are: 12, 24 and 48. Hence option (a)

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