Fibonacci numbers and lines are technical analysis tools based on the Fibonacci sequence. Fibonacci numbers are used to create ratios and gauge retracements, arcs, fans and time zones. These tools help traders and investors make informed decisions in the financial markets.

The Fibonacci sequence is a set of increasing numbers where each number is equal to the sum of the two preceding numbers, starting with 0 and 1. The sequence is 0,1,1,2,3,5,8,13,21,34,55,89 and so on, up to infinity. It is widely known as the “most famous mathematical ratio in nature.”

The golden ratio of 1.618 is derived from the Fibonacci sequence. This ratio is found in many things in nature, including the spiral galaxies, sunflowers, hurricane clouds and the human body. The golden ratio is also known as "Divine Proportion" or the “Golden Mean”.

In finance, the Fibonacci sequence is used to identify trends in the financial markets. This technique, known as Fibonacci analysis, is used by traders and investors worldwide to make informed decisions in the market. Fibonacci analysis involves four techniques: retracements, arcs, fans and time zones.

Retracements identify possible support and resistance levels by calculating how far a price has retraced within a trend. Arcs are used to identify potential retracement levels by drawing arcs between two extreme points. Fans identify potential points of support and resistance by drawing a line between two points and then drawing three lines at an angle to create a fan pattern. Time Zones show areas where prices tend to move in a given period of time, using past trading patterns as a guide.

Overall, Fibonacci numbers and lines are a powerful set of tools used by traders and investors to identify potential support and resistance retracements. The golden ratio of 1.618, which is derived from the Fibonacci sequence, is also used to identify trends and make informed decisions for traders. To be successful in the markets, it is important for traders to become knowledgeable about how to use Fibonacci Numbers and Lines so that they can get the best returns on their investments.