Question

2009分之1+2009分之2+……+2009分之2007+2009分之2008

Answer 1

1.

1/2009+2/2009+3/2009+……+2008/2009

=(1/2009)*(1+2+3+……+2008)

=(1/2009)*{[2008*(2008+1)]/2}

=(1/2009)*(1004*2009)

=1004