简算:1/1x2+1/2x3+1/3x4+1/4x5

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简算:1/1x2+1/2x3+1/3x4+1/4x5简算:1/1x2+1/2x3+1/3x4+1/4x5简算:1/1x2+1/2x3+1/3x4+1/4x51/1x2+1/3x2+1/3x4+1/4x

简算:1/1x2+1/2x3+1/3x4+1/4x5
简算:1/1x2+1/2x3+1/3x4+1/4x5

简算:1/1x2+1/2x3+1/3x4+1/4x5
1/1x2+1/3x2+1/3x4+1/4x5
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
=1-1/5 (上式前括后一项与后括号前一项抵消)
=4/5

原式=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5
=4/5