1/50*51+1/51*52+.+1/99*100
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/29 01:38:25
![1/50*51+1/51*52+.+1/99*100](/uploads/image/z/32993-17-3.jpg?t=1%2F50%2A51%2B1%2F51%2A52%2B.%2B1%2F99%2A100)
1/50*51+1/51*52+.+1/99*100
1/50*51+1/51*52+.+1/99*100
1/50*51+1/51*52+.+1/99*100
1/50*51+1/51*52+.+1/99*100
=(1/50-1/51)+(1/511-1/52)+.+(1/99-1/100)
=1/50-1/100
=1/100
1/100
原式=1/50-1/51+1/51+......-1/100
=1/100
1/50-1/51+//51-1/52+......+1/99-1/100=1/50-1/100=1/100