# Arithmetic Sequence

## Arithmetic Sequence

Sequence of numbers in which the difference r between two consecutive terms is constant.

Synonym for arithmetic progression.

The constant difference between two consecutive terms is called the difference of the arithmetic sequence.

### Example

Consider the number sequence S = {1, 3, 5, 7, 9, 11, …}
Notice that there is a constant difference of 2 between two consecutive terms. This means that it is an arithmetic sequence defined by: S = {x ∈ $$\mathbb {N}$$ | x = 2r + 1}.