alternating series (plural alternating series)

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

• alternating series test