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calculati valoarea raportului a/b stiind ca a=1+2+3+...+60 iar b=1/2*2/3*3/4*.....*59/60

Răspuns :

a=1+2+3+...+60 (suma Gauss) => a=60*61:2=30*61=1830

b=1/2 * 2/3 * 3/4 * ... * 58/59 * 59/60 = (dupa simplificare )=1/60

a/b = 1830 : 1/60=1830*60=109800 .