Calculati
1/150+2/150+3/150+...+149/150
Cine o rezolva corect dau coroana ,multumesc si 5 stele ​

Răspuns:

74.5

Explicație pas cu pas:

[tex]\frac{1}{150}+\frac{2}{150}+..+\frac{149}{150}=\\ \\\frac{1+2+..+149}{150}=\\\\\frac{149*150:2}{150}=\\[/tex]

[tex]\frac{149}{2}=\\ \\74.5[/tex]

Obs. La rezolvare am folosit formula lui Gauss

1 + 2 + .. + n = n(n+1)/2

1/150+2/150+3/150+...+149/150=

=(1+2+3+...+149) /150

=149×(149+1):2 /150

=149×150:2 / 150

=149×75 / 150

=11175/150

=74,5

Acest exercitiu se rezolva cu suma lui Gauss.