The name of the series of numbers 1, 2, 3, 5, 8, 13

Fibonacci sequence.

Actually, it also exists in the square factor.

If you look closely, you can see that the numbers on the left and right sides want to be added to the middle and bottom numbers.

However, if you draw a random line at 60 degrees from the plane:

There are also Fibonacci sequences.

It should be 1, 1, 2, 3, 5, 8, 13....

This is the Fibonacci sequence.

Fibonacci sequence.

The general formula for this series given by Lightacandle actually reflects an important property: the limit of its growth rate (i.e., f(n+1) f(n)) (when n tends to infinity) is the ** division ratio.

Fibonacci sequence.

At the beginning of the 13th century, the Italian mathematician Fibonacci proposed.

It has the following properties:

f(1)=f(2)=1 f(n)=f(n-2)+f(n-1)f(m+n)=f(n-1)f(m)+f(n)f(n+1)f(n+1)f(n-1)-(f(n)square)=-1 to the nth power.

General formula: f(n) = 5

Fibonacci sequence.

Recursive formula: a(1) 1;a（2）＝1；

a（n＋2）＝a（n）＋a（n＋1）

General formula: a(n) 5 (-1 2)((1+5 (1 2)) 2) n-((1-5 (1 2)) 2) n).

Roundup: Fibonacci sequence.

The Bonaccian sequence refers to the sequence of numbers 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, ......In particular, item 0 is 0 and item 1 is the first 1. This sequence starts with term 3, and each term is equal to the sum of the first two terms.

Introduction to the Fibonacci sequence:

The Fibonacci sequence, also known as the Split Sequence.

Because the mathematician Leonardo Fibonacci introduced it as an example of rabbit breeding, it is also called the "rabbit sequence", referring to such a series of numbers, etc.

Mathematically, the Fibonacci sequence is defined recursively as follows: f(0)=0, f(1)=1, f(n)=f(n - 1)+f(n - 2)(n 2, n n*) In the fields of modern physics, quasicrystalline structure, chemistry, etc., the Fibonacci sequence has direct applications, for this reason, the American Mathematical Society has published a mathematical journal named "Fibonacci Quarterly Series" since 1963 to publish research results in this area.

This famous sequence is called the "Fibonacci sequence", also known as the "rabbit sequence" or "rabbit breeding sequence". Should be.

What is said is that the rabbits are adult rabbits two months after they are born, and a pair of adult rabbits give birth to a pair of rabbits every month, and if all the rabbits do not die after one year, then how many pairs of rabbits can a pair of rabbits be born.

In the first month, juveniles, 0 pairs of adult rabbits.

In the second month, adult, 1 pair of adult rabbits.

In the third month, there are 1 pair of adult rabbits and 1 pair of rabbits.

In the fourth month, there are 2 pairs of adult rabbits and 1 pair of rabbits.

This is the Roman word for loss. It is used to represent one, two, three, four, five, and so on in Arabic numerals. For example, one is two, two is , three is , four is , five is , six is , seven is , eight is , nine is , ten is .

In the state of five strokes, Pin Xun opened the keypad and clicked the numeric serial number again.

Roman numerals, a type of numeral used in Europe before the introduction of Arabic numerals (which are actually Indian numerals), are now less commonly used. It was produced later than the digits in the Chinese oracle bone inscriptions, and even later than the decimal digits of the Egyptians. However, its creation marked the progress of an ancient civilization.

It's Arabic numerals, not Roman numerals.

It is called "Fibona Fiber Sequence", which is mainly used in modern physics, quasicrystalline structure, chemistry and other fields.

The Fibonacci sequence, also known as the ** split sequence, was introduced by the mathematician Leonardo Fibonacci with the example of rabbit breeding, so it is also called the "rabbit sequence", which refers to such a sequence

Since 1963, the American Mathematical Society has published a journal of mathematics called the Fibonacci Quarterly Journal, which is dedicated to the results of this research.

1--- All wishes come true.

2. --- Fortune and treasure.

3--- people's hearts are not wanted.

4--- mixed blessings and misfortunes, which means that things are in people 5--- five-in-one, gold, wood, water, fire and earth, harmony and unity, is a number that gives people RP.

6--- 66 Shun.

7--- unlucky number, with the meaning of scattering wealth8--- depending on the person, the noble will attract wealth, the poor will invite disaster9--- reunion and peace.

10--- down world, is the meaning of Yamato, but be careful of the villain left and right 11--- indicating single.

12--- large number is unlucky.

13--- Showa auspicious, Daifuku.

14 The above has no specific significance

It's numbers, Roman numerals.

Roman numerals are a type of numeral used in Europe before the introduction of Arabic numerals. Roman numerals are numerals in seven Roman letters, namely (1), x (10), c (100), m (1000), v (5), l (50), d (500).

Other expressions: 1. The most common Roman numerals are the dial symbols of clocks: , iiii),

2. Periodic table: IA, IIA, IIIA, IVA, VA, VIA, VIIA, IB, IIB, IIIB, IVB, VB, VIB, VIIB, VIII.

3. Corresponding to Arabic numerals (that is, the number that is now used internationally), that is, ......Note: Arabic numerals were actually invented by the ancient Indians and later introduced to Europe by the Arabs, and were mistakenly called Arabic numerals by the Europeans. ）

How to count:

1. The same number is written in a row, and the number represented is equal to the number obtained by adding these numbers, such as, 3.

2. The small number is to the right of the large number, and the number represented is equal to the number obtained by adding these numbers, such as, 8, 12.

3. Small numbers, (limited to , x and c) to the left of large numbers, represent numbers equal to the numbers obtained by decreasing large numbers, such as, 4, 9.

4. Draw a horizontal line on top of a number, indicating that the number has increased by 1 000 times, such as 12 000.

2 for love, 7 for wife, and 9 for eternity. Orange rough combination: 1314, a lifetime of fighting and destroying a lifetime of empty military preparation, 521, I love you, as for the other 59421, I just love you, like this, let's combine it yourself.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Represents a natural number from 1 to 10.

The answer is not 11. 5 , 21, 15, 32, x, 38 are regarded as the high-order difference series of the mountain, and the difference is repeatedly solved

Poor: 16, -6, 17, x - 32, 38-x

Poor: -22, 23, x-39, 70-2x

Difference: 45, x-62, 109-3x is a series of equal differences.

So 2(x-62) = 45+109-3x

2x-124=154-3x

5x=278

x = the way to find the pattern:

1. Mark the serial number: the problem of finding the law usually gives a series of quantities in a certain order, requiring us to find the general law according to these known quantities. Find out the rules of the fight, usually the package serial number.

Therefore, it is easier to find the mystery when you compare the variables and serial numbers together.

2. Fibonacci number sequence: Each number is the sum of the first two numbers.

3. Equal difference number series method: the difference between every two numbers is equal.

4. Jumping grid method: you can look at the interval to see what is the relationship between the separated numbers, such as 14,1,12,3,10,5, the odd number of terms into an equal difference series, and the even number of terms into an equal difference series, so you should fill in 8 next.