alternating series

Noun

Meaning

alternating series (plural alternating series)

(mathematics) An infinite series in the form of




∑

n
=
0


∞


(
−
1

)

n



a

n




{\displaystyle \sum _{n=0}^{\infty }(-1)^{n}a_{n}}

or




∑

n
=
0


∞


(
−
1

)

n
+
1



a

n




{\displaystyle \sum _{n=0}^{\infty }(-1)^{n+1}a_{n}}

, where




a

n


>
0


{\displaystyle a_{n}>0}

for all



n


{\displaystyle n}

.

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