(1+2/1)×(1-2/1)×(1+3/1)×(1-3/1)×……×(1-99/1)×(1+100/1)×﹙1+100/1﹚
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 05:43:19
![(1+2/1)×(1-2/1)×(1+3/1)×(1-3/1)×……×(1-99/1)×(1+100/1)×﹙1+100/1﹚](/uploads/image/z/8638602-42-2.jpg?t=%281%2B2%2F1%29%C3%97%281-2%2F1%29%C3%97%281%2B3%2F1%29%C3%97%281-3%2F1%29%C3%97%E2%80%A6%E2%80%A6%C3%97%281-99%2F1%29%C3%97%281%2B100%2F1%29%C3%97%EF%B9%991%2B100%2F1%EF%B9%9A)
(1+2/1)×(1-2/1)×(1+3/1)×(1-3/1)×……×(1-99/1)×(1+100/1)×﹙1+100/1﹚
(1+2/1)×(1-2/1)×(1+3/1)×(1-3/1)×……×(1-99/1)×(1+100/1)×﹙1+100/1﹚
(1+2/1)×(1-2/1)×(1+3/1)×(1-3/1)×……×(1-99/1)×(1+100/1)×﹙1+100/1﹚
(1+2分之1)*(1-2f分之1)*(1+3分之1)*(1-3分之1)……(1+100分之1)*(1-100分之1)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/100)(1+1/100)
=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)……(99/100)(101/100)
=(1/2)(101/100)
=101/200
200分之101