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(全都为分数)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 01:04:29
![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(全都为分数)](/uploads/image/z/2510239-31-9.jpg?t=1%2F2%2B1%2F3%2B2%2F3%2B1%2F4%2B2%2F4%2B3%2F4%2B1%2F5%2B2%2F5%2B3%2F5%2B4%2F5%2B...%2B1%2F100%2B2%2F100%2B...%2B99%2F100%EF%BC%88%E5%85%A8%E9%83%BD%E4%B8%BA%E5%88%86%E6%95%B0%EF%BC%89)
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(全都为分数)
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(全都为分数)
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(全都为分数)
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
=1/2+(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+...+(1/100+2/100+...+99/100)
=0.5+1+1.5+2+2.5+ --- +49.5
=(0.5+49.5)*99÷2
=2475