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Se considera multimea F={1/48;2/48;3/48;...;47/48} inclus Q
a ) Calculați suma elementelor multimii F


Răspuns :

Suma elementelor multimii F este 1/48+2/48+3/48+...+47/48=(1+2+3+..+47)/48 = [tex]\frac{47*(47+1)}{48} * \frac{1}{48} = \frac{47*48}{48}*\frac{1}{48}=\frac{47}{48}[/tex]
Am folosit formula 1+2+3+...+n=n(n+1)/2