1+ 1 1 2 + 1 2 2 =______; 1+ 1 1 2 + 1 2 2 + 1+ 1 2 2 + 1 3 2 =______; 1+ 1 1 2 + 1 2 2 + 1+ 1 2 2 + 1 3 2 + 1+ 1 3 2 + 1 4 2 =______;由此猜想 1+ 1 n 2 + 1 (n+1) 2 =______; 1+ 1 1 2 + 1 2 2 + 1+ 1 2 2 + 1 3 2 + 1+ 1 3 2 + 1 4 2 +…+ 1+ 1 2003 2 + 1 2004 2 =______.