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Vă rog ajutați-mă! [tex] \frac{1}{55} + \frac{2}{55} + \frac{3}{55} + ...+ \frac{10}{55} =[/tex]

Răspuns :

[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=[tex] \frac{10*11}{2} [/tex] = 5*11 =55
(1/55)8 ( 1+2+...+10)= (1/55)*10*11/2= (1/55) *55=1