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Thread: nth partial sum

  1. December 8th 2009, 08:04 PM #1
    jzellt
    jzellt is offline
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    nth partial sum

    Find the series whose nth partial sum is:

    sn = (-1 + 2^n) / 2^n

    And find the sum s of the series
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  2. December 8th 2009, 08:12 PM #2
    acc100jt
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    Quote Originally Posted by jzellt View Post
    Find the series whose nth partial sum is:

    sn = (-1 + 2^n) / 2^n
    T_{n}=S_{n}-S_{n-1}=..., simplify then you got the nth term.

    Quote Originally Posted by jzellt View Post
    And find the sum s of the series
    s=\lim_{n\rightarrow\infty}S_{n}=\lim_{n\rightarro w\infty}\frac{-1+2^{n}}{2^{n}}=\lim_{n\rightarrow\infty}\frac{-\frac{1}{2^{n}}+1}{1}=...
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