1x2/1+2x3/1+3x4/1+4x5/1+.2011x2012/1=

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1x2/1+2x3/1+3x4/1+4x5/1+.2011x2012/1=

1x2/1+2x3/1+3x4/1+4x5/1+.2011x2012/1=
1x2/1+2x3/1+3x4/1+4x5/1+.2011x2012/1=

1x2/1+2x3/1+3x4/1+4x5/1+.2011x2012/1=
1x2/1+2x3/1+3x4/1+4x5/1+.2011x2012/1
=1-1/2+1/2-1/3+……+1/2011-1/2012
=1-1/2012
=2012分之2011