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

_{1}r

^{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.