Welcome to Entretenimentos Diversos.
Let's talk about the Fibonacci Sequence!
Have you stopped to wonder what the Fibonacci Sequence is and why it exists?
No?
 
So let's know this and other curiosities!
Attention: The video is for informational purposes only!
The Sequence:
Leonardo Fibonacci was an Italian mathematician, considered the first great European mathematician of the Middle Ages, and he discovered, at the beginning of the 13th century, singular properties of a sequence of specific numbers, which reflect everything that occurs in the universe, logically.
The Fibonacci Sequence is as follows: sum the current number, with the last one and so the next number will be, being repeated the same way, with the next numbers.
 
Let's see how the sequence is:
The ratio of a pair of successive numbers is the division of the number X, by the number predecessor to it, in the sequence. Since the ratio between terms, they are increasingly close to the number of gold, when numbers are increasing, for example: 5 divided by 3, equal to 1.6666.
And doing the same operation, with the number 89, divided by 55, we will have the number:
 
1.6181, much closer to the Gold Number.
The Fibonacci Sequence in everyday life:
The sequence is widely used in the financial market as a whole, to predict trends that can occur in the markets, through logic and profit from it, being intrinsically linked to the Elliot Waves, in an attempt to predict upward or downward movements in the market.
One of the scholars Fibonacci followed to develop his famous Sequence, was the Indian philosopher Acharya Hemachandra, who was born in 1088 and died in 1173, and he was thinking about a problem and ended up developing a logical sequence, having the same logic as Fibonacci , and can be translated into the discovery of possibilities, through logic, let's see:
If we have a straight board, with four houses, and two different pieces, one piece of gray color, which occupies two houses and another piece of white color...
occupying a house. In how many ways can we alternate the two pieces in this board, without repeating the ways?
For this we can use the Fibonacci sequence, it is only to enumerate above the Fibonacci Sequence, a sequence of numbers beginning with 1, along with 1 of the Fibonacci Sequence, except that the sequence from above continues with 2, 3, 4 and so on.
And the number of houses that have our example is 4, so we will go to number 4 and...
we will see that the number of possibilities to alternate the two different pieces in this board are 3.
Important: we must remember that we exclude a number, because in this sequence, the last piece is already decided, be it a piece of two houses or a house. Therefore, following the previous sequence, it is possible to discover the possibilities of alternation, of the quantities of each house.
The discovery of this possibility of alternation is possible, because the Fibonacci Sequence, adds all the previous alternatives in the current and so on. See the following pyramidal example that illustrates this logic.
Curiosities:
The Fibonacci Sequence numbers can also be used for easy conversion from kilometers to miles because as the Gold Number is 1.618 and a mile is equal to 1.60934, the conversion is not only possible, but very easy to do. accomplish.
If the Gold Number and the ratio of miles to kilometers are almost equal, we can translate the Fibonacci Sequence from miles to kilometers, roughly, using this simple method:
 
5 miles equal to 8 kilometers, 13 miles equal to 21 kilometers and so on. this ratio can be used in larger values, for example: 50 miles equal to 80 kilometers and so on.
Today's video ends here, i hope you liked it!
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