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Math Help - Series problem

  1. #1
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    Question Series problem

    The rth term ur, of a series is given by ur=(1/3)2r-2 + (1/3)3r-1
    Express ∑nr=1 ur in the form A(1-B/27n) where A and B are constant.
    Find the sum of infinity of the series.

    Please help me! Thank you!
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  2. #2
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    Re: Series problem

    Quote Originally Posted by AuXian View Post
    The rth term ur, of a series is given by ur=(1/3)2r-2 + (1/3)3r-1
    Express ∑nr=1 ur in the form A(1-B/27n) where A and B are constant.
    Find the sum of infinity of the series.

    Please help me! Thank you!
    u_r = v_r + w_r where  v_r = \left( \frac{1}{3} \right)^{2r-2},  w_r = \left( \frac{1}{3} \right)^{3r-1} are in GP with common ratio \frac{1}{9} and \frac{1}{27} respectively. Can you find the sum to n^{th} term of v_r, w_r and simplify?
    Last edited by kalyanram; September 17th 2012 at 09:39 PM.
    Thanks from AuXian
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  3. #3
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    Re: Series problem

    Thanks for your solution. It's help me. Thanks!
    Last edited by AuXian; September 17th 2012 at 10:20 PM. Reason: type wrongly
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