根据你发现的规律计算下题.1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+···+1/99*100= *=×

根据你发现的规律计算下题.1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+···+1/99*100= *=×号

问答/444℃/2025-03-31 20:03:12

优质解答：

1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+···+1/99*100

=(1-1/2)+(1/2-1/3)+(1/3-1/4)...+(1/99-1/100)

=1-1/2+1/2-1/3+1/3-1/4+.1/99-1/100

=1-1/100

=99/100

我来回答

猜你喜欢