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Math Help - sequence pattern

  1. #1
    Super Member
    Joined
    Feb 2008
    Posts
    535

    sequence pattern

    Can anyone come up with a formula for this sequence:

    3/4, 2/3, 5/8, 3/5, 7/12, 4/7, 9/16, 5/9, 11/20, 6/11, ...
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  2. #2
    Senior Member
    Joined
    Dec 2007
    From
    Melbourne
    Posts
    428
    t_n = \frac {n+3}{2n+4}, assuming that the first term listed is t_0.

    This becomes obvious if you multiply the odd terms by \frac {2}{2}. I found this after looking at only the odd and even terms and spotting a pattern there.
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