Results 1 to 2 of 2

Math Help - Convergence / Divergence trouble

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    1

    Convergence / Divergence trouble

    I don't know how to go about determining whether this series converges or diverges:

    The summation from k=0 to infinity of ( (1/2^k) - (1/3^k) )
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,340
    Thanks
    21
    Quote Originally Posted by maddie View Post
    I don't know how to go about determining whether this series converges or diverges:

    The summation from k=0 to infinity of ( (1/2^k) - (1/3^k) )
    Split them up

     <br />
\sum_{k=0}^{\infty} \frac{1}{2^k} - <br />
\sum_{k=0}^{\infty} \frac{1}{3^k}<br />


    Both are geometric series.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trouble proving convergence/divergence
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: January 7th 2011, 08:39 AM
  2. Convergence and Divergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 7th 2010, 09:31 PM
  3. Convergence/Divergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 12th 2010, 04:30 AM
  4. Convergence and divergence
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 11th 2009, 07:36 PM
  5. convergence or divergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 23rd 2009, 05:42 PM

Search Tags


/mathhelpforum @mathhelpforum