1/2+1/3+2/3+1/4+2/4+3/4+……+1/101+2/101+……+100/101

来源：学生作业帮助网编辑：作业帮时间：2024/05/06 20:28:04

1/2+1/3+2/3+1/4+2/4+3/4+……+1/101+2/101+……+100/101
1/2+1/3+2/3+1/4+2/4+3/4+……+1/101+2/101+……+100/101

1/2+1/3+2/3+1/4+2/4+3/4+……+1/101+2/101+……+100/101
1/n+2/n+...n-1/n
=(1+2...+n-1)/n=(n-1)/2 n=2,3,...101
1/2+1/3+2/3+1/4+2/4+3/4+……+1/101+2/101+……+100/101
=(2-1)/2+(3-1)/2+(4-1)/2+.(n-1)/2+...(101-1)/2
=[(2+3+4...+101)-100*1]/2
=[5150-100]/2=2525

=0.5+1+1.5+2+……+50=2525

1 2 3 4 1 2 3 4 1 2 3 4 1,2,3,4, 1 2 3 4 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1,2,3,4, 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1、2、3、4 1+2+3×4 1,2,3,4 1+2+3+4+.