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Math Help - Solve a reccurence relation

  1. #1
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    Solve a reccurence relation

    I am having hard times figuring out this problem:

    Solve the recurrence relation using generating functions:
    <br />
a_{n}=3a_{n-1}-4n<br />

    <br />
n\ge 1 , a_{0}=2<br />

    Thanks, John
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  2. #2
    Senior Member Shanks's Avatar
    Joined
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    BeiJing
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    Substitute the recursive relation in the generating function to get a function equation of the generating function.
    solve the equation to get generating function, and expand it to get a_n.
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