1/n+2/n+3/n+……+n/n=[n(n+1)/2]/n=(n+1)/2=n/2+1/2所以原式=(1/2+1/2)+(2/2+1/2)+(3/2+1/2)+……+(100/2+1/2)=(1+2+3+……+100)/2+100*(1/2)=(100*101/2)/2+50=2525+50=2575