1/(123)+1/(234)+1/(345)+.+1/(91011)1/(123)+1/(234)+1/(345)+......+1/(91011)=?

来源：学生作业帮助网编辑：作业帮时间：2024/05/06 06:42:59

1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?

1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?
1/(2*3*4)=1/2*3-(1/3*4)
1/(3*4*5)=1/3*4-(1/4*5)
以此类推

1
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11

1\11

正确答案：1\11

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