In the actual problem solving process, according to the relationship between adjacent numbers, it can be divided into two categories:

(1) Adjacent numbers are related by addition, subtraction, multiplication, division, square and square, and the following laws are obtained: the addition, subtraction, multiplication and division of two adjacent numbers are equal to the third number; Add, subtract, multiply and divide two adjacent numbers, and add or subtract a constant to equal the third number; The square of the previous number is equal to the second number; Adding or subtracting a constant to the square of the previous number equals the second number; The previous number multiplied by a multiple plus or minus a constant equals the second number.

(2) The characteristics of each number in the data form the law between numbers.

Every number in the data is a constant added or subtracted by the square of n or the square of n, or the square of n is added or subtracted by n; Every number is a cube of n, or a cube of n plus or minus a constant, or a cube of n plus or minus n; Every number in the data is a multiple of n plus or minus a constant; The above are some basic laws of numerical reasoning, which must be mastered. However, after mastering these rules, we need to gradually form our own set of problem-solving ideas and skills on the basis of earnestly practicing various types of questions.

Regular type-the basic skills of solving problems in the types of numbers;

(1) serial number: to find the topic of regularity, usually a series of quantities are given in a certain order, which requires us to find the general law 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) Common factor method: multiply each number by the least common factor, and then find the law to see if it is related to n2, n3, 2n, 3n, or 2n, 3n.

(3) Some people can subtract the first number from each number at the same time to become a new series starting from the second number, and then use the techniques of (1) and (2) to find out the relationship between each number and its position, and then add the first number to the found law to restore it to its original appearance.

(4) Some can add, multiply or divide each number at the same time to form a new series, and then find out the law again and return to the original point.

(5) Like techniques (3) and (4), some people can add, subtract, multiply and divide each number with the same number (generally 1, 2,3). Of course, it is more likely to do addition or subtraction at the same time, and it is less common to do multiplication or division at the same time.