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Math Help - general term

  1. #1
    Senior Member
    Joined
    Jan 2009
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    381

    general term

    Find the general term of this sequence ,

    0 , 5 , 6 , 11 , ...

    i can see the pattern +5 , +1 , +5 , ...

    So i hv this idea ..

    3+(-1)^r(2)

    where

    U_1=0
    U_2=U_1+3+(-1)^r(2) , where r=2
    U_3=U_2+3+(-1)^r(2) , where r=3

    And so on ..

     <br />
U_n=U_{n-1}+\sum^{n}_{r=1}[3+(-1)^r(2) ]<br />

    I am not sure how to continue .. Am i on the right track . Thanks !
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    Maybe a better way might be to add the amount 3 - 2*(-1)^n at the n-th step...?
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  3. #3
    Senior Member
    Joined
    Jan 2009
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    Quote Originally Posted by stapel View Post
    Maybe a better way might be to add the amount 3 - 2*(-1)^n at the n-th step...?

    I don understand what you are trying to say .. Can you verify whether i am on the right track and the steps for me to continue .. Thanks .
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