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\lhead{MATH 311-01}
\chead{Problem of the Day}
\rhead{YOUR NAME HERE}
\lfoot{}
\cfoot{Page \thepage\ of \pageref{LastPage}}
\rfoot{\textbf{due October 14, 2013}}
\begin{document}

\begin{enumerate}
\item \emph{Prove inductively that for any real number $a$ and real
    number $r\neq 1$, and natural number $n$,
    $a+ar+ar^2+\cdots+ar^{n-1}=\frac{a(1-r^n)}{1-r}$.}

\begin{proof}
  
\end{proof}

\item \emph{Prove inductively that for every natural number $n$, $7\mid
  (3^{4n+1}-5^{2n-1})$.}

\begin{proof}
  
\end{proof}
\end{enumerate}
\end{document}
