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Math Help - Display a number...

  1. #1
    Newbie
    Joined
    Feb 2008
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    5

    Display a number...

    Hey guys, i'm stuck with this question and could need your help:

    "Display the number 2008 as the sum of natural numbers, so that the addition of the reciprocal values of their summands equals 1."


    Thanks a lot, i just don't know what to do with this question...
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  2. #2
    Senior Member Peritus's Avatar
    Joined
    Nov 2007
    Posts
    397
    is that what you mean?

    <br />
\left\{ \begin{gathered}<br />
  \sum\limits_{n = 1}^N {x_n  = 2008}  \hfill \\<br />
  \sum\limits_{n = 1}^N {\frac{1}<br />
{{x_n }} = 1}  \hfill \\ <br />
\end{gathered}  \right.
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  3. #3
    Newbie
    Joined
    Feb 2008
    Posts
    5
    hey peritus, thanks for your quick answer

    unfortunatly, i don't really know this notation...

    to clarify my post, i was looking for a couple of numbers which add up to 2008;
    the sum of the inverses of these numbers are supposed to equal 1...
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