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Stabiliti valoarea raportului a/b stiind ca a=1+2+3+4+5+....+60 si b=1/2 X 2/3 X 3/4 X .... X 59/60

Răspuns :

a=1+2+3+...+60=60·61/2=1830→a=1830(suma gauss)
b=1/2·2/3·3/4·.....·58/59·59/60=1/60(se reduc termenii)
⇒a/b=1830/(1/60)=109800