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  1. G

    Infinite Series

    Thank you!
  2. G

    Infinite Series

    Thank you micromass, I'll try expanding that out as soon as I get home. I'm sure it'll telescope out... there is one thing driving me nuts however. \sum 1/n is a harmonic series... which is divergent. I'm not sure about \sum 1/(n+k) since series have the property that \sum (a-b)=\sum...
  3. G

    Infinite Series

    \sum\frac{1}{n(n+k)} from n=1 to infinity find that the series is convergent and find it's sum. Now I'm a bit confused... I can show it's convergent with k=1 and I attempted the same thing with k by breaking this into partial fractions. But I'm given a harmonic series that is divergent...
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