Evaluate the expression $i^{1002}$ in the form of $a + bi$.
$
\begin{equation}
\begin{aligned}
&= i^{1002}\\
\\
&= i^{1000+2}\\
\\
&= i^{1000} \cdot i^2\\
\\
&= (i^2)^{500} \cdot i^2\\
\\
&= (-1)^{500} \cdot i^2\\
\\
&= i^2\\
\\
&= -1
\end{aligned}
\end{equation}
$
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