=1/2+4/3+6/5+---+2006/2005
=1/2+(2006/2-1)+1/3+1/5+---1/2005
=1002+2008(1/(3*2005)+1/(5*2003)+--+1/1003*1005))
=1002+2008(0.000166251+-------+0.000000992)
=1002+2008*(0.000166251+0.000000992)/2*(1002/2)
=1002+2008*0.004319121
=1086.123394