1/6+1/12+20/1+...+1/9900

来源：学生作业帮助网编辑：作业帮时间：2024/05/02 06:38:27

1/6+1/12+20/1+...+1/9900
1/6+1/12+20/1+...+1/9900

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

1/6+1/12+20/1+...+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