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What is the relationship between the golden ratio and the standard Fibonacci sequence?
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
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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.
What is sequence in probability?
There is no relationship between sequences and probability.
What is the relationship between Confidence Interval and decreased Standard Deviation?
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.
What is a famous quote that Fibonacci said?
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.
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.
