Question

Vă rog ajutați-mă! $\frac{1}{55} + \frac{2}{55} + \frac{3}{55} + ...+ \frac{10}{55} =$

Answer 1

[tex] \frac{1}{55} + \frac{2}{55} + \frac{3}{55} +...+ \frac{10}{55} =\\ \\= \frac{1+2+3+...+10}{55} =\\ \\= \frac{55}{55}=1 [/tex]
Deoarece 1+2+3+...+10=$\frac{10*11}{2}$ = 5*11 =55

Answer 2

(1/55)8 ( 1+2+...+10)= (1/55)*10*11/2= (1/55) *55=1