What are 'Fibonacci Numbers/Lines'
Fibonacci numbers/lines were discovered by Leonardo Fibonacci, who was an Italian mathematician born in the 12th century. These are a sequence of numbers where each successive number is the sum of the two previous numbers.
e.g. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc.
These numbers possess a number of interrelationships, such as the fact that any given number is approximately 1.618 times the preceding number.
Next Up
BREAKING DOWN 'Fibonacci Numbers/Lines'
Interpretation of the Fibonacci numbers in technical analysis anticipates changes in trends as prices tend to be near lines created by the Fibonacci studies. The four popular Fibonacci studies are arcs, fans, retracements, and time zones.
RELATED TERMS

Fibonacci Retracement
A term used in technical analysis that refers to areas of support ... 
Fibonacci Arc
A charting technique consisting of three curved lines that are ... 
Fibonacci Clusters
A tool used in technical analysis that combines various numbers ... 
Median
The middle number in a sorted list of numbers. To determine the ... 
Mean
The simple mathematical average of a set of two or more numbers. ... 
Critical Path Analysis  CPA
A process by which projects are outlined and sequenced to have ...
Related Articles

Trading
Taking The Magic Out Of Fibonacci Numbers
Uncover the history and logic behind this popular trading tool. 
Trading
How To Use Fibonacci To Trade Forex
Fibonacci offers a perfect fit with forex strategies, locating hidden support and resistance levels that translate into high odds entry and exit prices. 
Trading
HighTech Fibonacci
Fibonacci developed this system in the Middle Ages. See how it can provide accuracy without sacrificing readability. 
Personal Finance
Bank Lingo: Routing Number Vs. Account Number
Each consumer bank account has its own personal ID. And so does the bank. How do these numbers function and how do they protect the account holder? 
Markets
Using Fibonacci to Analyze Gold (GLD, GC)
Use Fibonacci studies to analyze gold by picking out hidden harmonic levels that can provide major support or resistance. 
Markets
Stocks Trading at the 61.8% Pullback Level (TSLA,NAVI)
Here are stocks trading the 61.8% Fibonacci retracement level, and how to trade them (and this recurring pattern). 
Trading
3 Technical Tools To Improve Your Trading
Find out how volume, the Aroon indicator and Fibonacci numbers can improve your profits. 
Trading
Why A Falling Stock Is Not Always A Bargain
Learn how to successfully trade pullbacks and to avoid being crushed by "falling safes." 
Managing Wealth
Top Paying MathRelated Careers
These jobs require specialized math skills that intimidate most laymen. But, for those with the wit and work ethic to attain this knowledge, there are many highpaying employment options. 
Trading
How To Make The Most of Fibonacci Grids (VDSI, GLW)
Build your Fibonacci skills by finding the longest price swing on your chart of interest and placing a grid over the trend. Repeat at shorter intervals.
RELATED FAQS

What is Fibonacci retracement, and where do the ratios that are used come from?
Fibonacci retracement is a very popular tool among technical traders and is based on the key numbers identified by mathematician ... Read Answer >> 
What are the alert zones in a Fibonacci retracement?
Discover more about the Fibonacci number sequence, and specifically about the key Fibonacci retracement alert levels most ... Read Answer >> 
What are some of the more common Fibonacci retracements?
Examine the basic Fibonacci retracement levels, and learn how key Fibonacci levels are used by traders to identify potential ... Read Answer >> 
Why is the Fibonacci Retracement important for traders and analysts?
Find out why traders and analysts in financial markets use Fibonacci retracement to help identify support and resistance ... Read Answer >> 
How reliable is the Fibonacci retracement in predicting stock behavior?
Learn why the reliability of the Fibonacci retracement indicator is debatable, and how the indicator is used to identify ... Read Answer >> 
Why are Fibonacci Clusters important in a Fibonacci Retracement Strategy?
Find out how Fibonacci clusters form and how they can be used by traders and analysts to identify support and resistance ... Read Answer >>