1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 12:38:53
![1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50](/uploads/image/z/15022648-64-8.jpg?t=1%2F1%2B2%2B1%2F1%2B2%2B3%2B1%2F1%2B2%2B3%2B4%2B%E2%80%A6%2B1%2F1%2B2%2B3%2B%E2%80%A6%2B50)
1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50
1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50
1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50
1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50 =2(1/2-1/3+1/3-1/4+1/4+.+1/50-1/51) =2(1/2-1/51)=2*49/102=49/51