A famous mathematical educator, G Paulia, famously said, "Finding problems is more important than solving them". This sentence inspires us that if we want to learn mathematics well, we need to observe, find problems, explore the regularity of problems, and have a pair of keen eyes. Please observe the following formula first, and then fill in the blanks .32-1= 8× 65438+.
( 1)72﹣52=8×( )
(2)92﹣72=8×( )
(3)( )2﹣92=8×5;
(4) 132﹣( )2=8×( )…;
(5) Through observation and induction, this rule is expressed as () with a formula containing the letter n..
Solution: 3; 4 ; 1 1 ; 6 ; (2n+ 1)2﹣(2n﹣ 1)2=8n.