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Math Help - why is this absolutely convergent?

  1. #1
    Senior Member mollymcf2009's Avatar
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    why is this absolutely convergent?

    I don't get why this is absolutely convergent?

    \sum^{\infty}_{n=1}  \frac{sin(4n)}{7^n}
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    \left| a_{n} \right|=\frac{\left| \sin 4n \right|}{7^{n}}\le \frac{1}{7^{n}}, that's why.
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