求和:1+1/2+2/2+1/3+2/3+3/3+2/3+1/3+……+1/100+2/100+…+100/100+99/100+…+2/100+1/100

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 19:28:55
求和:1+1/2+2/2+1/3+2/3+3/3+2/3+1/3+……+1/100+2/100+…+100/100+99/100+…+2/100+1/100

求和:1+1/2+2/2+1/3+2/3+3/3+2/3+1/3+……+1/100+2/100+…+100/100+99/100+…+2/100+1/100
求和:1+1/2+2/2+1/3+2/3+3/3+2/3+1/3+……+1/100+2/100+…+100/100+99/100+…+2/100+1/100

求和:1+1/2+2/2+1/3+2/3+3/3+2/3+1/3+……+1/100+2/100+…+100/100+99/100+…+2/100+1/100
1+1/2+2/2+1/2+1/3+2/3+3/3+2/3+1/3…+1/100+2/100+…100/100+99/100+…+1/100
=1+2+3+...+100
=5050

1/n+2/n+...+n/n+(n-1)/n+...+2/n+1/n
=[n(n+1)/2+(n-1)n/2]/n
=n
1+1/2+2/2+1/2+1/3+2/3+3/3+2/3+1/3…+1/100+2/100+…100/100+99/100+…+1/100
=1+2+3+...+100
=100*(100+1)/2
=5050