The analysis process is as follows:

2^2+ 1=5

4^3- 1=63

6^2+ 1=37

8^3- 1=5 1 1

10^2+ 1= 10 1

12^3- 1= 1727

Extended data:

Find a routine method:

1, serial number: to find a regular topic, a series of quantities arranged in a certain order are usually given, and we are required to find a general rule according to these known quantities. Find out the rule, usually the serial number of the package. Therefore, it is easier to find the mystery by comparing variables with serial numbers.

2. Generally, it is necessary to observe the characteristics first, and then check several commonly used methods in turn, such as the difference and the operational relationship between adjacent three items. If the number changes dramatically, you can consider squares and cubes, and you should be familiar with some commonly used squares and cubes.

3. Fibonacci sequence method: each number is the sum of the first two numbers.

4. Arithmetic series method: the difference between every two numbers is equal.

5. Tabbing method: You can look at it every once in a while to see what the relationship between the separated numbers is, for example, 14, 1, 12, 3, 10, 5, odd items become arithmetic progression, even items also become arithmetic progression, and then you have to fill in 8.