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Fibonacci is best known for the sequence named after him, defined as follows:

-The first two numbers in the sequence are both 1

-Every number after that is the sum of the two previous numbers.

The first few digits are

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...

One particularly interesting feature of this sequence is that the ratio of any two consecutive numbers approaches a number called Φ, which is about 1.618

1/1 = 1

2/1 = 2

3/2 = 1.5

5/3 = 1.666...

8/5 = 1.6

13/8 = 1.625

And so on. Φ is an interesting number because

Φ^2 = Φ + 1

1/Φ = Φ - 1

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Related questions

Why was Leonardo Fibonacci's invention important?

Fibonacci is famous for his contributions to number theory.


Why is Fibonacci and his sequence important?

Fibonacci is important because he introduced the Arabic number system to Europe. His sequence is much less important - it is mainly a mathematical curiosity.


Why are Fibonacci numbers so special?

Fibonacci numbers are important in art and music. The ratio between successive Fibonacci numbers approximates an important constant called "the golden mean" or sometimes phi, which is approximately 1.61803.


Why is the Fibonacci sequence important?

cuz it just IS.


Why is Fibonacci important in maths?

because if we did not have him we would never no how to do math


What did Fibonacci do in his life?

Fibonacci accomplished: doing paintings and also invented Fibonacci numbers. Fibonacci traveled to some Mediterranean countries, to study the most important Arab mathematicians at that time. Fibonacci ended his travels around the year 1200 and at that time he returned to Pisa. Originally in the year 1202, Fibonacci was presented with a problem of how quickly the rabbit population will grow in ideal conditions.


What were some important events in Fibonacci's life?

Fibonacci was born in 1170 and died in the 1240's he now has a memorial next to the Leaning Tower of Pisa


Why did Fibonacci think of the Fibonacci code?

There is the Fibonacci sequence but what is the Fibonacci code?


How long did Leonardo Fibonacci live?

He lived [Fibonacci(10) + Fibonacci(8) + Fibonacci(6)] years


What is Fibonacci functions?

what is fibonacci?


Why is the Fibonacci sequence named after Fibonacci?

Leonardo Fibonacci discovered the number sequence which is named after him.


Why did Fibonacci create the Fibonacci Sequence?

I think Fibonacci wanted to find how many swirls or petals were on a flower ....... most of them are Fibonacci numbers....i think.... doin a projct......= )