# How do you write a sequence that has three geometric means between 256 and 81?

##### 1 Answer

Nov 20, 2015

#### Explanation:

So the geometric mean of

#sqrt(256*81) = sqrt(4^4*3^4) = 4^2*3^2 = 144#

The geometric mean of

#sqrt(256*144) = sqrt(4^4 4^2 3^2) = 4^3*3 = 192#

The geometric mean of

#sqrt(144*81) = sqrt(4^2 3^2 3^4) = 4*3^3 = 108#

The sequence: