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What is the relationship between the golden ratio and the standard Fibonacci sequence?
Wiki User
∙ 12y ago
The "golden ratio" is the limit of the ratio between consecutive terms of the Fibonacci series.
That means that when you take two consecutive terms out of your Fibonacci series and divide them,
the quotient is near the golden ratio, and the longer the piece of the Fibonacci series is that you use,
the nearer the quotient is. The Fibonacci series has the property that it converges quickly, so even if
you only look at the quotient of, say, the 9th and 10th terms, you're already going to be darn close.
The exact value of the golden ratio is [1 + sqrt(5)]/2
Wiki User
∙ 12y ago
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What are the relations between the golden ratio and the Fibonacci series?
The ratio of successive terms in the Fibonacci sequence approaches the Golden ratio as the number of terms increases.
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There is absolutely no relationship to what you've asked. I'm pretty sure you simply framed the question in the wrong way, but to literally answer your question... none. Zero relationship. There's no such thing. There is however a relationship between standard deviation and a CI, but a CI can in no shape way or form influence a standard deviation.
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Without Mathematics there is no art is one of the famous quote that Fibonacci said. Fibonacci was one of the greatest genius of number theory during the 2000 years between Diophantus and Fermat.
Is The Fibonacci sequence arithmetic?
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What are the relations between the golden ratio and the Fibonacci series?
The ratio of successive terms in the Fibonacci sequence approaches the Golden ratio as the number of terms increases.
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What number in the Fibonacci sequence between 100 and 200 is a perfect square?
Answer 144 which is F(12) Reason 55 and 89 are the 10th and 11th Fibonacci numbers, If we add these we have 144 which is the 12 Fibonacci number and is a perfect square. I am using F(0) as the 0 Fibonacci number and F(1) as the first.
What is sequence in probability?
There is no relationship between sequences and probability.
Is there any difference between Fibonacci sequence and Fibonacci series?
No. They are two words that both refer to the same set of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.
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1 1 2 3 5 8 13 Which number should come next in the series?
21 It is the Fibonacci secuence.1+1=2 1+2=3 2+3=5 and so on... 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610...
Who uses the Fibonacci sequence today?
The Fibonacci sequence is actually one of the most used mathematical ideas in the world! This is because the differences between the terms of the sequence give birth to the Golden Ratio (which is about 1:1.62). This 'magic' ratio is often said to hold the key to beauty, and is found throughout the natural world - including in the ratio of sizes in a human face. Today it is most commonly used by architects, artists, fashion designers and the like - for anyone that looks to create beauty the Fibonacci Sequence and the Golden Ratio is vital because it tells you how the size you need to make things to make them visually appealing.
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What is the difference between the golden ratio and the Fibonacci sequence?
The fibbonacci sequence is a sequence of numbers starting with one where each number is the sum of the two numbers before it. The sequence goes 1,1,2,3,5,8,13,21,34,55,89, and so in. The ratio of any number in the sequence to the number just before it (like 55/34, or 13/8) gets closer and closer to the golden ratio, 1.618033989.
