1 1 1 1 1 ---- + ---- + -

1 1 1 1 1 ---- + ---- + ---- + ---- +...---------- 1乘2 2乘3 3

5个回答

1/1*2+1/2*3+1/3*4+1/4*5+……+1/2003*2004
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/2003-1/2004
=1-1/2004
=2003/2004