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Dat Do edited beginproblem_a_You_a.tex
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Commit id: 5b3a80188cda0fc110959d3777083ee3e8fffe41
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The difference between $2^{n+1}$ and $W(n)$ appears to be $-n-2$ for each term, so the closed form expression for $W(n)$ must be $\sum\limits_{i=1}^n i*2^{n-i} = 2^{n+1}-n-2$. We can prove that this expression is correct using induction.
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\begin{proof}
\textbf{Proof:}
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Base Case: For $W(1)$, $2^{1+1}-1-2 = 1$ which is correct since $W(1) = 1$.