What type of sequence is fibonacci

For instance, the number 13 is achieved by adding the numbers 5 and 8 and the number 21 is achieved by adding 8 with You might not help wondering why is the sequence so famous? What is Fibonacci? The explanation can be seen if the sequence is depicted visually since then it becomes clear that the sequences describes a growth pattern in nature. See the picture below which explains the fibonacci spiral. The number 1 in the sequence stands for a square with each side 1 long.

The number 2 stands for a square of 2 by 2 and so on. If the sides of the square are placed next to each other a new side of a larger square forms as explained before, e. This can be repeated till infinity and with each step the squares get larger. Thing that is so special about this sequence can be seen when a line is drawn trough the cross points. With these picture is becomes clear what the sequence actually represents.

The best example is Lateralus by metal band Tool. Fiboni V. We use cookies to ensure that Fibonicci works properly. We use Google Analytics to track the behavior of our visitors on our website, however all data gathered is anonymized.

When I used a calculator on this only entering the Golden Ratio to 6 decimal places I got the answer 8. You can also calculate a Fibonacci Number by multiplying the previous Fibonacci Number by the Golden Ratio and then rounding works for numbers above 1 :. In a way they all are, except multiple digit numbers 13, 21, etc overlap , like this:.

Prove to yourself that each number is found by adding up the two numbers before it! It can be written like this:. Fibonacci was not the first to know about the sequence, it was known in India hundreds of years before! That has saved us all a lot of trouble! Thank you Leonardo. Fibonacci Day is November 23rd, as it has the digits "1, 1, 2, 3" which is part of the sequence.

So next Nov 23 let everyone know! Notice the first few digits 0,1,1,2,3,5 are the Fibonacci sequence?