SOLUTION: Find the sum of the four geometric means between 160 and 5.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find the sum of the four geometric means between 160 and 5.      Log On


   



Question 1003398: Find the sum of the four geometric means between 160 and 5.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since there are four means, there are five multiplicative steps going from 160 to 5...another way of showing that is...
160r^5 = 5
r^5 = 5/160 = 1/32
r = 1/2
Thus the terms must be
160,80,40,20,10,5
and the sum of the four intermediate means is
150