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\textbf{Math 126: Calculus II}
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\textbf{Quiz 7}\quad \textsl{October 24, 2000}
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\emph{Show all your work and all important steps.}
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1. Find the limit of the sequence $a_n = \frac{n\pi+\cos(n\pi)}{n\pi}$.

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2. Consider the series $s = \sum_{n=1}^\infty \frac{5+(-1)^n}{10^n}$.

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a) Determine the $8^{th}$ partial sum, $s_8$, as a decimal number.

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b) Use geometric series to compute the sum of the infinite series~$s$.

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