1-2/1*(1+2)-3/(1+2)*(1+2+3)-4/(1+2+3)*(1+2+3+4)-……-20/(1+2+3+……+19)*(1+2+3+……+20)=?

来源：学生作业帮助网 编辑：作业帮 时间：2024/07/20 14:15:39
1-2/1*(1+2)-3/(1+2)*(1+2+3)-4/(1+2+3)*(1+2+3+4)-……-20/(1+2+3+……+19)*(1+2+3+……+20)=?
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1-2/1*(1+2)-3/(1+2)*(1+2+3)-4/(1+2+3)*(1+2+3+4)-……-20/(1+2+3+……+19)*(1+2+3+……+20)=?
1-2/1*(1+2)-3/(1+2)*(1+2+3)-4/(1+2+3)*(1+2+3+4)-……-20/(1+2+3+……+19)*(1+2+3+……+20)=?

1-2/1*(1+2)-3/(1+2)*(1+2+3)-4/(1+2+3)*(1+2+3+4)-……-20/(1+2+3+……+19)*(1+2+3+……+20)=?
通项为-2/(n-1)+4/n+2/(n+1)
所得结果为1/210