SOLUTION: 160, __, __, __, __, 5 Insert four geometric means between 160 and 5. What is the first of these geometric means?

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Question 964933: 160, __, __, __, __, 5
Insert four geometric means between 160 and 5. What is the first of these geometric means?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Let the common ratio be .  Then the sequence is:

, , , , , 

We solve the equation







Therefore the sequence is

160, 80, 40, 20, 10, 5

The first of these four inserted means between 160 and 5 is 80.

Edwin
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