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

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1/2+1/3+2/3+1/4+2/4+3/4+……+1/101+2/101+……+100/101
xP ]GR'T= .i:X'$= =H+ {RpI@y4|`[IǯW+Yk2l0 M\u3 ǽgt%7 +`we=:r1JB7´`Yj%kԘnl_FdmE˫~R

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