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Math Help - find formulas

  1. #1
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    find formulas

    find a formula that generates the following sequence a1,a2,a3

    a) 5,9,14,20,27,.

    b) 3,2,1,2,3,.

    c) 15,25,25,30,30,.
    Last edited by delgeezee; March 13th 2012 at 03:49 PM.
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  2. #2
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    Re: find formulas

    Quote Originally Posted by delgeezee View Post
    find a formula that generates the following sequence a1,a2,a3

    a) 5,9,14,20,27,.

    b) 3,2,1,2,3,.

    c) 15,25,25,30,30,.
    a)

     a_n=a_{n-1}+n+2 , ~\text{with}~a_1=5

     a_n= \frac{(n+1)(n+4)}{2}

    b)

     a_n=\frac{1}{2} \cdot (i\cdot (-i)^n-i\cdot i^n+4)
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