# Power Series

A power series is a sum of powers of a variable. A power series is essentially an infinite polynomial.

Power series is a college-level concept that would be first encountered in a Calculus II course. It is an Advanced Placement Calculus BC topic and is listed in the California State Standards for Calculus.

### Examples

Generating Function: | The generating function of a sequence of numbers is a formal power series whose coefficients are the members of that sequence. |

Geometric Series: | A geometric series is a series in which the ratio of any two consecutive terms is always the same. |

Taylor Series: | A Taylor series is a power series of a function around a given point. |

### Prerequisites

Power: | In arithmetic, a power is an exponent to which a given quantity is raised. |

Series: | In mathematics, a series is an (often infinite) sum of terms specified by some rule. |