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 $n$.

Derived terms

• alternating series test

Translations

alternating series

• Asturian: serie alternada f
• Catalan: sèrie alternada f
• French: série alternée f
• Galician: serie alternada f, serie alterna f
• Italian: serie alternata f, serie a segni alterni f
• Portuguese: série alternada f
• Spanish: serie alternante f