# Arithmetic Series

An arithmetic series is a series in which the difference between any two consecutive terms is a constant.

Arithmetic series is a middle school-level concept. It is listed in the California State Standards for Algebra II.

### Examples

Euclidean Space: | Euclidean space of dimension n is the space of all n-tuples of real numbers which generalizes the two-dimensional plane and three-dimensional space. |

Hilbert Space: | A Hilbert space is a vector space that has a complete inner product. Hilbert spaces are important in the study of infinite-dimensional vector spaces. |