简算: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

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 01:49:14
简算: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

简算: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
简算: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

简算: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
结果是5050.
原因是1/2+2/2+1/2=2,1/3+2/3+3/3+2/3+1/3=3,依次加到100,所以原式=1+2+3+4+.+100=5050.