1+1/2+1/3+2/3+1/4+2/4+3/4+...+1/100+2/100+...+99/100.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 20:10:15
![1+1/2+1/3+2/3+1/4+2/4+3/4+...+1/100+2/100+...+99/100.](/uploads/image/z/240633-9-3.jpg?t=1%2B1%2F2%2B1%2F3%2B2%2F3%2B1%2F4%2B2%2F4%2B3%2F4%2B...%2B1%2F100%2B2%2F100%2B...%2B99%2F100.)
1+1/2+1/3+2/3+1/4+2/4+3/4+...+1/100+2/100+...+99/100.
1+1/2+1/3+2/3+1/4+2/4+3/4+...+1/100+2/100+...+99/100.
1+1/2+1/3+2/3+1/4+2/4+3/4+...+1/100+2/100+...+99/100.
1+1/2+1/3+2/3+1/4+2/4+3/4+...+1/100+2/100+...+99/100 =1+1/2+(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+……+(1/100+2/100+...+99/100) =1+(0.5+1+1.5+2+2.5+……+49.5) =1+(0.5+49.5)×99/2 =1+2475 =2476.