# What is geometric progression - Definition and Meaning

### Geometric Progression :

Geometric progression is otherwise called as Geometric sequence. It is sequence of number, where each number after the first one is found by multiplying each previous number by the fixed common ratio.

#### Formula :

In general, the progression is written as {a, ar, ar^{2}, ar^{3}, ar^{4}... }
here,
a - first term,
r - common ratio (that is factor between the terms) (or)
The n-th term of a geometric sequence with initial value a and common ratio r is given by
x_{n} = ar^{(n-1)}

#### Example :

1, 3, 9, 27, 81, 243....
Above is the geometric progression with the common ratio 3.

Learn what is geometric progression. Also find the definition and meaning for various math words from this math dictionary.