In simple terms, the geometric
means are the terms between two nonconsecutive terms in a
geometric sequence - a
sequence where each number is multiplied by a
common ratio rather than related by a
common difference.
The
formula for a geometric sequence is:
a
n=a
1r
n-1
a
n is the nth or last
term in the sequence, a
1 is the first, r is the common ratio, and n is the number of the term - a
5 is the fifth term and n=5, for example.
Finding a geometric mean: Input values for the first and nth term, value of n (the number of geometric means you want between the two + 2 to represent the first and nth terms), and solve for the common ratio. Now you can use the common ratio and a
1 to find the means of that sequence.