(2)2(2+3)= 10,

2(3+5)= 16,

2(5+8)=26;

(3) The perimeter of the rectangle with serial number ⑤ is 2(8+ 13)=42,

The perimeter of the rectangle with serial number ⑥ is 2( 13+2 1)=68.

The perimeter of the rectangle with serial number ⑦ is 2 (21+34) =110,

The circumference of the rectangle with serial number ⑧ is 2(34+55)= 178,

The circumference of the rectangle with serial number 9 is 2 (55+89) = 288.

So the answer is: (1) 8; (2) 10, 16,26; (3)288.