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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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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 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......= )
What did Fibonacci do?
He was a Mathematician, who discovered the Fibonacci sequence, Fibonacci polynomials, Fibonacci Pseudoprime, Reciprocal Fibonacci Constant, and many more things. His dad wanted him to be a wealthy merchant. He was amazingly good in math.
How old was Fibonacci when he discovered the Fibonacci sequence?
42
