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Thread: divergence

  1. May 4th 2010, 03:46 PM #1
    alexandrabel90
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    divergence

    prove that the series 1+1/4+1/7+1/10... diverges.
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  2. May 4th 2010, 03:49 PM #2
    dwsmith
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    Quote Originally Posted by alexandrabel90 View Post
    prove that the series 1+1/4+1/7+1/10... diverges.
    Have you written the the formula that produces this series?

    \frac{1}{1}+\frac{1}{4}+\frac{1}{7}+...=\sum_{n=1} ^{\infty}\frac{1}{3n-2}
    Last edited by mr fantastic; May 4th 2010 at 05:08 PM. Reason: Merged posts.
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  3. May 4th 2010, 05:09 PM #3
    mr fantastic
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    Quote Originally Posted by dwsmith View Post
    Have you written the the formula that produces this series?

    \frac{1}{1}+\frac{1}{4}+\frac{1}{7}+...=\sum_{n=1} ^{\infty}\frac{1}{3n-2}
    I'll just add that it should now be clear that an appropriate test can be used.
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