In simple terms, the geometric mean
s 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
for a geometric sequence is:
is the nth or last term
in the sequence, a1
is the first, r is the common ratio, and n is the number of the term - a5
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 a1
to find the means of that sequence.