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

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

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

简算:1/1x2+1/2x3+1/3x4+1/4x5 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5
请问就这几个,还是以后的也是按这种规律?
如果就这几个,那么答案是:1-1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)=1-1/5=4/5
如果后面还有,一直到n的话,答案是:1-1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+【1/(n-1)-1/n】=1-1/n=(n-1)/n
请选为“满意答案”,