Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 8 and the 8th term is 18?
If the common ratio is positive, then the
If not, then it would be
In a geometric sequence of positive terms, the middle term of three consecutive terms is the geometric mean of the first and third.
Given two positive numbers
In our example we find that the geometric mean of
#sqrt(8*18) = sqrt(144) = 12#
So, assuming the common ratio of the geometric sequence is positive, the
Note that the