Best Answer

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

User Avatar

Wiki User

โˆ™ 2012-01-17 15:48:07
This answer is:
User Avatar
Study guides


20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

See all cards
1510 Reviews

Add your answer:

Earn +20 pts
Q: What is the relationship between the golden ratio and the standard Fibonacci sequence?
Write your answer...
Still have questions?
magnify glass
Related questions

Is The Fibonacci sequence arithmetic?

No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant

What is this sequece called 1 1 2 5 8 13?

That is nearly the Fibonacci sequence; to make the Fibonacci sequence it needs a '3' between the '2' and the '5'

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 are the relationship between values goals and standard?

Relationship between values goals and standard

What is sequence in probability?

There is no relationship between sequences and probability.

What is the relationship and sequence between nucleus?

This question does not make sense.

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.

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.

What is the relationship between the variance and the standard deviation?

is variance the square of the standard deviation

What is the relationship between literacy and standard of living?

obviously, there is a very high correlation between literacy and standard of living

What is the relationship between standard deviation and variance?

Standard deviation is the square root of the variance.

Does Slovakia have any relationship with the us?

There isn't any special relationship between Slovakia and US. There is standard, good relationship between countries.

People also asked