# Definition:Power Series/Coefficient

## Definition

Let $\ds \sum_{n \mathop = 0}^\infty a_n \paren {x - \xi}^n$ be a power series.

The terms:

$a_0, a_1, \ldots, a_n, \ldots$

are the coefficients of $\ds \sum_{n \mathop = 0}^\infty a_n \paren {x - \xi}^n$.