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 \textbf{Math 475 Homework 8} \\
 \textsc{Due April 22nd, 2009}
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\begin{enumerate}
 \item Find the triangular numbers in Pascal's Triangle. Explain why the pattern continues forever.
 \item Identify the skew-diagonals of Pascal's Triangle which sum to the Fibonacci numbers. Explain why this pattern continues forever.
 \item Use $n$th differences to prove the sum of every $n$th row of Pascal's Triangle is $2^n$ (assuming the ``1 1" row is the first row).
 \item Describe every function $f:\mathbb{Z} \to \mathbb{R}$ that is equal to its own first difference function and prove there are no others.
 \end{enumerate}


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