Results 1 to 2 of 2

Math Help - Generating functions problem (stuck)

  1. #1
    Junior Member
    Joined
    Sep 2010
    Posts
    26

    Generating functions problem (stuck)

    From the integers:1,3 ,9,27,81,243,729...
    I have:

    The sum from k=0 to infin of 3^k times x^k.

    How do I incorporate the geometric series into this and finish this problem?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by guyonfire89 View Post
    From the integers:1,3 ,9,27,81,243,729...
    I have:

    The sum from k=0 to infin of 3^k times x^k.

    How do I incorporate the geometric series into this and finish this problem?
    \displaystyle \sum_{k=0}^{\infty}3^kx^k=\sum_{k=0}^{\infty}(3x)^  k

    So if 3x<1 you have a convergent infinite geometric series.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Need help understanding Generating Functions problem
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: March 6th 2010, 11:59 AM
  2. generating functions problem
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: January 21st 2010, 04:49 AM
  3. generating functions
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: November 5th 2009, 06:57 PM
  4. generating functions
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: October 24th 2009, 08:01 AM
  5. Probability problem to do with generating functions
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 4th 2009, 11:57 AM

Search Tags


/mathhelpforum @mathhelpforum