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Math Help - series

  1. #1
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    series

    I think i found the bottom one, 2n+3 the only way i can see the top one is in a recursive but i need a closed form, can anyone give me some hints on how to look at it...


    Find a formula for sn, n 1. , , , , , , ...
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  2. #2
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    numerator looks to be n!
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  3. #3
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    He's right!

    yes, the general term is n! / (2n+3);
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  4. #4
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    Quote Originally Posted by acosta0809 View Post
    I think i found the bottom one, 2n+3 the only way i can see the top one is in a recursive but i need a closed form, can anyone give me some hints on how to look at it...


    Find a formula for sn, n 1. , , , , , , ...
    The numerator is n! = n\cdot (n-1)\cdot (n-2) \cdot \dots \cdot 3 \cdot 2 \cdot 1.

    So t_n = \frac{n!}{2n + 3}

    S_n = \sum_{i = 1}^n \frac{n!}{2n + 3}.


    If this was an infinite series, it would diverge btw. But since it's finite, that's a bit trickier...
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