1/6+1/12+1/20+1/30+……+1/9900=?

来源：学生作业帮助网编辑：作业帮时间：2024/05/12 08:15:46

1/6+1/12+1/20+1/30+……+1/9900=?
1/6+1/12+1/20+1/30+……+1/9900=?

1/6+1/12+1/20+1/30+……+1/9900=?
=1/2*3+1/3*4+1/4*5+……+1/99*100
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/99-1/100
=1/2-1/100
=49/100

1/6+1/12+1/20+1/30+……+1/9900
=1/2-1/3+1/3-1/4+.........+1/99-1/100
=1/2-1/100
=49/100
=0.49