Results 1 to 2 of 2

Math Help - generating functions problem

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    7

    generating functions problem

    can you help for this question please ? I try to solve but its hard for me
    Attached Thumbnails Attached Thumbnails generating functions problem-q1.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    The first 2 are correct.

    For the 3rd one :

    \frac{x^2}{1-x^2}=x^2\cdot\frac{1}{1-x^2}=\frac{x^2}{2}\cdot\left(\frac{1}{1-x}+\frac{1}{1+x}\right)

    But \frac{1}{1-x}+\frac{1}{1+x}=\sum_{n=0}^\infty x^n+\sum_{n=0}^\infty (-1)^n x^n=\sum_{n=0}^\infty a_n x^n

    where a_n=\begin{cases} 2 \text{ if n is even} \\ 0 \text{ if n is odd}\end{cases}


    Can you finish it ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Generating functions problem (stuck)
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 29th 2010, 11:04 PM
  2. Need help understanding Generating Functions problem
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: March 6th 2010, 10:59 AM
  3. Generating Functions
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: February 12th 2010, 04:46 PM
  4. Probability problem to do with generating functions
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 4th 2009, 10:57 AM
  5. Generating functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 8th 2009, 10:50 AM

Search Tags


/mathhelpforum @mathhelpforum