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education/math/MATH1220 (calc II)/Sequences.md
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@@ -77,5 +77,6 @@ Converges to $\dfrac{a}{1-r}$ if $|r| < 1$ or diverges if $|r| >= 1$.
# Examples: # Examples:
> Determine if the series $\sum_{n=1}^{\infty}35(7^{-n} * 2^{n-1})$ diverges or converges. If it converges, state where. > Determine if the series $\sum_{n=1}^{\infty}35(7^{-n} * 2^{n-1})$ diverges or converges. If it converges, state where.
1. Rewrite $7^{-n}$ to move it out of the exponent 1. Rewrite $7^{-n}$ as $(\frac{1}{7})^n$ to be closer to the form $ar^n$
$$ = \sum_{n=1}^\infty 35*($$
2. 2.