alternating series

Noun

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