Results 1 to 2 of 2

Math Help - Partial Sums

  1. #1
    Junior Member
    Joined
    Nov 2010
    Posts
    57

    Partial Sums

    Prove the following using partial sums:

    1/(1(1+1)) + 1/(2(2+1)) + 1/(3(3+1)) + ... + 1/(k(k+1)) = 1 as k approaches infinity.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,786
    Thanks
    1683
    Awards
    1
    Quote Originally Posted by thamathkid1729 View Post
    Prove the following using partial sums:

    1/(1(1+1)) + 1/(2(2+1)) + 1/(3(3+1)) + ... + 1/(k(k+1)) = 1 as k approaches infinity.
    \displaystyle \frac{1}{k(k+1)}=\frac{1}{k}-\frac{1}{k+1}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Partial Sums
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 13th 2011, 09:09 AM
  2. partial sums
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 9th 2011, 11:16 PM
  3. partial sums of sequences
    Posted in the Algebra Forum
    Replies: 7
    Last Post: March 2nd 2010, 03:38 PM
  4. Partial Sums
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 30th 2008, 10:58 AM
  5. Partial Sums
    Posted in the Algebra Forum
    Replies: 0
    Last Post: October 24th 2006, 03:00 PM

Search Tags


/mathhelpforum @mathhelpforum