Answer
$a_{40}=\dfrac{1}{40}$
Work Step by Step
Substituting $n=40$ in the expression $\dfrac{(-1)^n}{n}$, then,
\begin{array}{l}
a_{40}=\dfrac{(-1)^{40}}{40}\\\\
a_{40}=\dfrac{1}{40}
.\end{array}
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