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rewrite the series in sigma notation 4+16+64+...+256+1024

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  1. We note that the series is a geometric series with a common ratio of r=16/4=4
    The first term, i=1, is given by
    4=1*4^1=4^i
    The second term, i=2, is given by
    16=4^2=4^i
    ...
    and the last term, i=5, is given by
    1024=4^5=4^i

    Therefore the summation is for
    4^i for i=1 to i=5.

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