1/2+5/6+11/12+19/20+29/30+……+9899/9900
问题描述:
1/2+5/6+11/12+19/20+29/30+……+9899/9900
答
1/2+5/6+11/12+19/20+29/30+……+9899/9900 =99-(1/2+1/6+1/12+1/20+1/30+……+1/9900)=99-(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100)=99-(1-1/100)=98.01