计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n

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计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n1/1x2+1

计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n
计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n

计算:1/1x2+1/2x3+1/3x4+.+1/(n-1)n
1/1x2+1/2x3+1/3x4+.+1/(n-1)n
观察一下
1/1x2=1-1/2
1/2x3=1/2 -1/3
1/3x4=1/3 -1/4
.
.
1/(n-1)n=1/(n-1) - 1/n
然后所有式子相加
1/1x2+1/2x3+1/3x4+.+1/(n-1)n
=1-1/2 +1/2-1/3+1/3-1/4+.-1/(n-1)+1/(n-1)-1/n
=1-1/n
=(n-1)/n