1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+992+1分之1加1+2+3/1这样
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![1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+992+1分之1加1+2+3/1这样](/uploads/image/z/1769573-29-3.jpg?t=1%2F1%2B2%2B1%2F1%2B2%2B3%2B1%2F1%2B2%2B3%2B4%2B...%2B1%2F1%2B2%2B3%2B4...%2B992%2B1%E5%88%86%E4%B9%8B1%E5%8A%A01%2B2%2B3%2F1%E8%BF%99%E6%A0%B7)
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1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+992+1分之1加1+2+3/1这样
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
2+1分之1加1+2+3/1这样
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+992+1分之1加1+2+3/1这样
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
=1/[(1+2)*2/2]+1/[(1+3)*3/2]+1/[(1+4)*4/2]+.+1/[(1+99)*99/2]
=2/(2*3)+2/(3*4)+2/(4*5)+.+2/(99*100)
=2(1/2-1/3)+2(1/3-1/4)+2(1/4-1/5)+.+2(1/99-1/100)
=2(1/2-1/100)
=1-1/50
=49/50
你的叙述能力真的令人担忧
是否是[1/(1+2)]+[1/(1+2+3)]+...+[1/(1+2+3+...+99)]