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Calculati 1000+1/1000+2/1000+3/1000+......999/1000

Răspuns :

[tex]1000+\dfrac{1}{1000}+\dfrac{2}{1000}+\dfrac{3}{1000}+\ldots+\dfrac{999}{1000}=\\\\=1000+\dfrac{1}{1000}(1+2+3+\ldots+999)=\\\\=1000+\dfrac{\dfrac{999\cdot 1000}{2}}{1000}=1000+\dfrac{999}2=\dfrac{2999}2.[/tex]

Green eyes.