Two people take turns to report, and each person can only report 1 or 2 at a time. We add up all the figures reported by two people, and the result series is Fibonacci series.

Assuming that the number of the first newspaper is a 1 and the number of the second newspaper is a2, then according to the rules of the game, the number of the third newspaper should be a 1+a2, the number of the fourth newspaper should be a2+a3, and so on, and the number of the nth newspaper should be A (n-1)+A (.

We can find that each term is the sum of the first two terms, which is the definition of Fibonacci sequence. The first few terms of Fibonacci sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 2 1, 34 and so on. We can find that each item is the sum of the first two items.

This game is actually a recursive process, and each item is calculated by the first two items. This game shows the power of recursion, and through simple rules, complex sequences can be obtained.

Characteristics of Fibonacci sequence problem;

1, self-similarity: Fibonacci series has obvious self-similarity, that is, each number in the series is the sum of the first two numbers. This feature makes Fibonacci sequence show amazing patterns and laws in nature and mathematics.

2. Golden ratio: Fibonacci series and golden ratio (approximately equal to 1. 1803. ) is closely related. When the ratio of two adjacent terms in Fibonacci sequence approaches infinity, this ratio will approach the golden ratio. The golden ratio has important applications in art, architecture, biology and other fields.

3. Rich mathematical properties: Fibonacci series has many interesting mathematical properties, such as each term is twice the square difference between the previous term and the latter term, and any positive integer can be expressed as the sum of several different Fibonacci numbers, and this representation is unique (except for a special case).

Refer to the above content: Baidu Encyclopedia-Fibonacci Series