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Alternating series
ID: alternating-series
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Alternating series
by
Wikipedia Bot
0
1970-01-01
An
alternating series
is
a
type of infinite
series
in which the terms alternate in
sign
. Formally,
a
series
of the form
: \[ \sum_{
n
=
0
}^{\infty} (-
1
)^
n
a
_
n
\] is called an
alternating series
, where \(
a
_
n
\) is
a
sequence
of positive terms (
i
.e., \(
a
_
n
>
0
\)) for all \(
n \)
.
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