Formula lui Gauss. Dati si exemple.

Răspuns :

[tex]Formula~lui~Gauss:~\boxed{1+2+3+...+n= \frac{n(n+1)}{2} }. \\ \\ Exemple:~1+2+3+...+10= \frac{10*11}{2}=55. \\ 1+2+3+...+100= \frac{100*101}{2}=5050. \\ 1+2+3+...+275= \frac{275*276}{2}= 37950.[/tex]