# What is a common way how to optimize such kind of equations? [closed]

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

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

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