2分之1+6分之1+12分之1+20分之1+.+4022030分之1
=1/1*2+1/2*3+1/3*4+……+1/2005*2006
=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2005-1/2006)
=1-1/2006
=2005/2006
2分之1+6分之1+12分之1+20分之1+.+4022030分之1
=1/1*2+1/2*3+1/3*4+……+1/2005*2006
=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2005-1/2006)
=1-1/2006
=2005/2006