一道纠结的数学题:1/2+1/6+1/12+1/20+.1/870=急1/2=二分之一等急
沈燕飞回答:
1/2+1/6+1/12+1/20+...1/870
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...(1/29-1/30)
=1/2+1/2-1/30
=29/30
相关文章:
一道纠结的数学题:1/2+1/6+1/12+1/20+.1/870=急1/2=二分之一等急
沈燕飞回答:
1/2+1/6+1/12+1/20+...1/870
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...(1/29-1/30)
=1/2+1/2-1/30
=29/30