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$$ \frac{20}{1000 }+\frac{ 19}{999 }+\frac{ 18}{998 }+\frac{ 17}{997 }+\frac{ 16}{996 }+\frac{ 15}{995 }+\frac{ 14}{994 }+\frac{ 13}{993 }+\frac{ 12}{992 }+\frac{ 11}{991 }+\frac{ 10}{990 }+\frac{ 9}{989}+\frac{ 8}{988 }+\frac{ 7}{987 }+\frac{ 6}{986 }+\frac{ 5}{985 }+\frac{ 4}{984 }+\frac{ 3}{983 }+\frac{ 2}{982 }+\frac{ 1}{981} $$ I would say that I should use somehow Harmonic numbers...

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closed as unclear what you're asking by Toby Mak, Scientifica, Namaste, José Carlos Santos, Davide Giraudo Oct 30 '18 at 15:49

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ Do you mean $$\sum_{k=1}^{20}\frac k{980+k}?$$ $\endgroup$ – Lord Shark the Unknown Oct 30 '18 at 7:23
  • $\begingroup$ No, i want to get a concrete value $\endgroup$ – karina Oct 30 '18 at 7:28
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    $\begingroup$ @karina what do you mean by get a value? By hand? Or do you mean, how do you most efficiently sum these numbers on a computer? $\endgroup$ – Christopher A. Wong Oct 30 '18 at 7:48
  • $\begingroup$ You haven't written an equation, karina, and it's not clear what you mean by "optimize". You can't optimize a number. $\endgroup$ – Gerry Myerson Oct 30 '18 at 8:38
  • $\begingroup$ I need to calculate sum of these numbers $\endgroup$ – karina Nov 1 '18 at 14:56