Geometric Progression

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. A geometric sequence can be finite or infinite.

The n-th term an of a geometric sequence is given by:



a0ā€” initial value;
rā€” common ratio;
nā€” 1, 2, 3 ...

Sum of n terms:


Decreasing geometric progression

If the absolute value of the common ratio r is less than one, the geometric progression is called a decreasing geometric progression.


See also: