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The golden ratio is approximately 1.618: 1. This ratio is commonly found in nature and architecture. Stock traders often look for this ratio in patterns on stock charts. One way to compute this ratio is to compare any adjacent Fibonacci numbers. For this reason stock traders often refer to this type of analysis using the term Fibonacci, as in "Fibonacci retracements".

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Q: How does the golden ratio relate to the Fibonacci sequence?

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No, but the ratio of each term in the Fibonacci sequence to its predecessor converges to the Golden Ratio.

The ratio of successive terms in the Fibonacci sequence approaches the Golden ratio as the number of terms increases.

The Fibonacci sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.

The answer depends on the sequence. The ratio of terms in the Fibonacci sequence, for example, tends to 0.5*(1+sqrt(5)), which is phi, the Golden ratio.

The limit of the ratio is the Golden ratio, or [1 + sqrt(5)]/2

Your mind will be blown if you search Phi, The golden ratio, or the fibonacci sequence. It has to do with everything.

The Fibonacci sequence can be used to give ever increasing accurate approximations of phi, the golden ratio, by dividing a number in the series by the one before it.

The Fibonacci sequence is a series of numbers in which each number is the sum of the two previous numbers. When graphed, the sequence creates a spiral. The sequence is also related to the "Golden Ratio." The Golden Ratio has been used to explain why certain shapes are more aesthetically pleasing than others.

The pentagram is related to the golden ratio, because the diagonals of a pentagram sections each other in the golden ratio. The Fibonacci numbers are also related to the golden ratio. Take two following Fibonacci numbers and divide them. So you have 2:1, 3:2, 5:3, 8:5 and so on. This sequence is going to the golden ratio

The ratio of dividing the larger Fibonacci number into the smaller Fibonacci number gives you the golden ratio (1.618 to 1). -------- The Golden Ratio is the number (1+sqrt(5))/2~=1.618 The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... . Skipping the first two terms, if you divide one term in this sequence by the previous term the resulting sequence converges to the Golden Ratio: 1.0000 2.0000 1.5000 1.6667 1.6000 1.6250 1.6154 1.6190 1.6176 1.6182 1.6180 Please see the link for more information.

As you expand the Fibonacci series, each new value in proportion to the previous approaches the Golden Ratio.

There is no hidden secret. The ratio of successive terms tends to [1+sqrt(5)]/2 which is known as the Golden Ratio.

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