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Math Help - Convergence rate

  1. #1
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    Convergence rate

    I have the following sequences of numbers:
    1) 32, 16, 8, 4, 2, 1
    2) 32, 16, 8, 2, 1, 0.5
    3) 32, 16, 4, 2, 1, 0.5,
    4) 32, 16, 4, 1, 0.25, 0.0625

    I'm interested which of the above has the fastest rate of convergence.
    (mathematical formula is needed). I should be able to plot the rates of
    convergence against each other, and it should be concluded from the plot.
    (The data given above are just the illustration)
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  2. #2
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    Jun 2010
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    This means I should be able to tell which sequence drops/decreases faster from the plot.
    For example, given sequences {32, 16, 8, 4, 2, 1} and {128, 32, 8, 2, .5, .125} I should be able to tell that the second sequence drops faster (decreases by /4). How to extract this data and plot it, so that the answer is obvious? Thanks
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