1+1/2+2/2+1/2+1/3+2/3+3/3+2/3+1/3+……+1/100+2/100+……+100/100+

学习时间:2026-06-04 18:24:04 阅读：239

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=?计算过程及规律

敏感的路人

2026-06-04 18:24:04

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=2*(1+1/2+2/2+1/3+2/3+3/3+。。。+1/100+2/100+。。。+100/100)-(1+2/2+3/3+。。。+100/100)=2*(1+3/2+6/3+10/4+15/5+。。。101/2)-100= (2+3+。。+101)-100 =5050