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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 1}\quad {\sl Sept. 8, 1994}

\begin{enumerate}
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\item Prove that for all real numbers $a, b\in \R$, $(-a)b = -(ab)$.
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\item Define the following:

  \begin{enumerate}[a)]
  \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 $\sum_{k=1}^n k^2= {n(n+1)(2n+1)\over 6}$ by induction.
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\item
Find all $x$ such that $|1-3x| < 4$.
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