1×2分之1+2×3分之1+3×4分之枝喊1+4×5分之1+5×6分之1+6×7分之1=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/塌搭凯6-1/7)=1-1/团唤2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7=1-1/7=6/7
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