Blumenfeld Calc
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Geometric Series Quiz
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Is $\sum_{n=3}^\infty \dfrac{3^n}{2^{2n}}$ convergent or divergent? If it is convergent, find its sum.
(a) $\frac{27}{64}$
(b) $\frac{27}{16}$
(c) $4$
(d) $3$
Does $\sum_{n=1}^\infty (\tan{7})^n$ converge or diverge?
(a) Converges since $\tan{7} > 1$
(b) Converges since $0 < \tan{7} < 1$
(c) Diverges since $\tan{7} > 1$
(d) Diverges since $0 < \tan{7} < 1$
Write $0.83838383\ldots$ as a reduced fraction.
(a) $\dfrac{83}{100}$
(b) $\dfrac{83}{99}$
(c) $\dfrac{71}{85}$
(d) $\dfrac{166}{198}$
$$\sum_{n=1}^\infty \dfrac{6^{n+2}}{2^{3n}} =$$
(a) $108$
(b) $27$
(c) $\dfrac{4}{3}$
(d) $\infty$
Write $0.997997997\ldots$ as a reduced fraction.
(a) $\dfrac{997}{1000}$
(b) $\dfrac{997}{999}$
(c) $\dfrac{2991}{2997}$
(d) $\dfrac{996}{999}$
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