alternating series

English

Noun

alternating series (plural alternating series)

1. (mathematics) An infinite series in the form of $\sum _{n=0}^{\infty }(-1)^{n}a_{n}$ or $\sum _{n=0}^{\infty }(-1)^{n+1}a_{n}$, where $a_{n}>0$ for all $n$.