Write an explicit formula for the sequence:
{
1
8
,
−
1
9
,
1
10
,
−
1
11
,
1
12
,
−
1
13
,
…
}
\displaystyle {\left\lbrace\frac{{1}}{{8}},-\frac{{1}}{{{9}}},\frac{{1}}{{{10}}},-\frac{{1}}{{{11}}},\frac{{1}}{{{12}}},-\frac{{1}}{{{13}}},\ldots\right\rbrace}
{
8
1
,
−
9
1
,
10
1
,
−
11
1
,
12
1
,
−
13
1
,
…
}
a
n
=
\displaystyle {a}_{{n}}=
a
n
=
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