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This completes the partial fraction decomposition. Notice that these two fractions are generating functions we know. In fact, we should be able to expand each of them.
\begin{equation*}
\frac{-1}{1-x} = -1 - x - x^2 -x^3 - x^4 - \cdots \mbox{ which generates } -1, -1, -1, -1, -1, \ldots\text{.}
\end{equation*}
\begin{equation*}
\frac{2}{1-2x} = 2 + 4x + 8x^2 + 16x^3 + 32x^4 + \cdots \mbox{ which generates } 2, 4, 8, 16, 32, \ldots\text{.}
\end{equation*}
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