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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 1}\quad {\sl Aug. 31, 1995}

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\item
  \begin{enumerate}[a)]
  \item Define $-a$ for $a\in \R$.
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  \item Prove that $a 0 = 0$ for any $a\in\R$
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  \item Prove that $(-1)a = -a$ for any $a\in\R$.
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  \end{enumerate}

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\item Define the following:

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  \item an inductive set.
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  \item the natural numbers, $\N$.
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  \item $\sum_{k=1}^n a_k$.
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  \end{enumerate}

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\item Prove $\sum_{k=1}^n k = {n(n+1)\over 2}$ by induction.
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