If a × B = a * A-B * B, 1-1 × 2-2 × 3 -. - 2003 × 2004 =? If A@B=B-A/A * B,1@2+2@3+3@4+.+2003@2004= ? Dear brothers, sisters, uncles and aunts, I will hand them in today!

If a × B = a * A-B * B, 1-1 × 2-2 × 3 -. - 2003 × 2004 =? If A@B=B-A/A * B,1@2+2@3+3@4+.+2003@2004= ? Dear brothers, sisters, uncles and aunts, I will hand them in today!

1.2004*2004=4016016
2.1-1/2004=2003/2004

If a * b = B-A / a × B, then 1 * 2 + 2 * 3 + 3 * 4 + --- + 2003 * 2004 = ()
If a * b = B-A / a × B, then 1 * 2 + 2 * 3 + 3 * 4 + --- + 2003 * 2004 = ()

In the question, B-A = 1
1*2+2*3+3*4+--------+2003*2004
=1/(1*2)+1/(2*3)+1/(3*4)+…… +1/(2003*2004)
=1/1-1/2+1/2-1/3+1/3-1/4+…… +1/2003-1/2004
=1-1/2004
=2003/2004

If a@b=a *B-A of B, then 1@2+2@3+3@4+...+2003@2004= ?

1@2+2@3+3@4+...+2003@2004
=2-1/1*2+3-2/2*3+.2004-2003/2004*2003
=1-1/2+1/2-1/3+,+1/2003-1/2004
=1-1/2004
=2003/2004