1/6+1/12+1/20.+1/9900=?知道的亲们,求告诉

来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/09 07:45:01
1/6+1/12+1/20.+1/9900=?知道的亲们,求告诉1/6+1/12+1/20.+1/9900=?知道的亲们,求告诉1/6+1/12+1/20.+1/9900=?知道的亲们,求告诉1/6+

1/6+1/12+1/20.+1/9900=?知道的亲们,求告诉
1/6+1/12+1/20.+1/9900=?
知道的亲们,求告诉

1/6+1/12+1/20.+1/9900=?知道的亲们,求告诉
1/6+1/12+1/20+.+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)
=1/2-1/3+1/3-1/4+1/4-1/5+...1/99-1/100
=1/2-1/100
=49/100

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