Known as the golden section series is Fibonacci series. Fibonacci series is a very famous series, which starts with the third number, and each number is the sum of the first two numbers. Moreover, Fibonacci series is widely used in mathematics, physics, biology, architecture and other fields. Fibonacci series begins with 0 and 1, and the following number is the sum of the first two numbers.

Other related

Fibonacci series, also known as the golden section series, was introduced by mathematician Leonardo Fibonacci taking raising rabbits as an example, so it is also called "rabbit series", and its numerical values are: 1, 1, 2, 3, 5, 8, 13. This series is defined by the following recursive methods: F(0)= 1, f (1) = 1, f (n) = f (n- 1)+f (n-2) (n ≥ 2, n.

origin

In the history of mathematics, after the dark ages in Europe, the first influential mathematician was Fibonacci (L. Fibonacci, 1 170- 1250). In his early years, he studied arithmetic with Arabs in North Africa with his father, and then traveled to Mediterranean countries. After returning to Italy, he wrote Calculation [xq2], which was also translated into Abacus Book.

This masterpiece mainly collects mathematical problems in ancient China, Indian and Greek, involving integer and fractional algorithms, open methods, quadratic and cubic equations and indefinite equations. In particular, the revised edition of Computational Classics in [xq3]+0228 contains the following "rabbit problem": If each pair of rabbits (one male and one female) can give birth to a pair of rabbits every month (also a male and one female, the same below).

Each pair of rabbits is infertile in the first month, and a pair of rabbits can be born every month after the second [xq4]. Assuming that [xq5] rabbits are not dead, how many pairs of [xq6] rabbits will there be after 12 months from the first pair of newborn rabbits? The explanation is: one month [xq7]: only one pair of rabbits; The second month: still only a pair of rabbits; The third month: the rabbit gave birth to a pair of little rabbits. * * There are 1+ 1=2 pairs of rabbits.

The fourth month [xq8]: The first pair of rabbits gave birth to another pair of rabbits, * * * with 2+ 1=3 pairs of rabbits. From the first month to the twelfth month, the logarithms of rabbits are 1, 1, 2, 3, 5, 8, 13 respectively. Later generations [xq9] named this rabbit series as [xq 10] Fibonacci series, that is, 1, 1, 2, 3, 5, 8, 13, 2 1.