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Homework Help: Determining if a series is convergent or divergent

  1. Jan 4, 2010 #1
    1. The problem statement, all variables and given/known data
    Determine the convergence or divergence of the series. If the series is convergent, find its sum. Justify each answer.

    (n=1, to infinity) [tex]\sum(7/9 + n^5)[/tex]

    Help please? I missed a lot of school recently from being sick and need help with this!
  2. jcsd
  3. Jan 4, 2010 #2


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    Gold Member

    For clarification, do you mean

    [tex]\sum_{n=1}^{\infty}\frac{7}{9 + n^5}[/tex]

    or do you mean

    [tex]\sum_{n=1}^{\infty}(\frac{7}{9} + n^5)[/tex]
  4. Jan 4, 2010 #3
    Try adding up the first few terms. What do you get?
  5. Jan 4, 2010 #4
    sorry I meant:

    [tex]\sum_{n=1}^{\infty}\frac{7}{9 + n^5}[/tex]
  6. Jan 4, 2010 #5


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    Gold Member

    Thanks for the clarification. Alright, what have you tried so far?
  7. Jan 4, 2010 #6


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    Science Advisor
    Homework Helper

    jgens wants you think think about a comparison test, I'm very sure.
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