# Display a number...

• Feb 22nd 2008, 06:35 AM
ViresArcanum
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...
• Feb 22nd 2008, 06:50 AM
Peritus
is that what you mean?

$
\left\{ \begin{gathered}
\sum\limits_{n = 1}^N {x_n = 2008} \hfill \\
\sum\limits_{n = 1}^N {\frac{1}
{{x_n }} = 1} \hfill \\
\end{gathered} \right.$
• Feb 22nd 2008, 08:54 AM
ViresArcanum