1. Find out the relationship between adjacent items: For a series or sequence, we can compare adjacent items and find out the relationship between them. For example, for Fibonacci series, we can find that each term is the sum of the first two terms.
2. Find the general formula: the general formula is the formula expression of each item in the series, which can help us quickly calculate the value of any item in the series. Some series are relatively simple, and the general formula can be found through observation, such as arithmetic progression and geometric progression; Some series are more complicated, and it is necessary to find the general formula by deducing and solving equations.
3. Find a mathematical model: Some problems can be described by mathematical models, and problems can be better understood and solved by establishing mathematical models. For example, some problems involving the concepts of area, volume and speed can be solved by establishing corresponding mathematical models.
4. Find special circumstances: Some problems may be difficult to find the law at once. We can find a few special cases to analyze first, and gradually extend them to general cases. For example, some problems of permutation and combination can be analyzed from a small scale, and the rules can be found and then extended to a large scale.
The above are some commonly used methods and skills to find the law, I hope to help you. Remember, finding the law requires constant thinking, practice and summary. Let's go