I understand the Fibonacci Sequence (the simplified version). But how is it applied to real life? Please give at least two examples. Thanks
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html
http://io9.com/5985588/15-uncanny-examples-of-the-golden-ratio-in-nature
Ahhh, the Fibonacci numbers and the Golden Ratio.
My all time favourite topic in mathematics !!!
After you have spent a few weeks going through all the links and side-paths found in Ms Sue's first page, you might have some fun with this one
http://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3
The Fibonacci Sequence, although initially a mathematical concept, finds applications in various areas of real life. Let me provide you with two examples:
1. Nature and Biology:
The Fibonacci Sequence appears frequently in the natural world. For instance, consider the arrangement of leaves on a stem or the spiral patterns of seeds in a sunflower. In these cases, the number of leaves or seeds tends to follow the Fibonacci Sequence. This pattern allows for efficient packing and optimal exposure to sunlight. Additionally, the Fibonacci numbers can be observed in the breeding patterns of rabbits, where each pair of rabbits produces a new pair every month, resulting in a sequence that follows the Fibonacci pattern (0, 1, 1, 2, 3, 5, 8, 13, etc.).
2. Finance and Trading:
The Fibonacci Sequence is also utilized in financial markets and trading strategies. Traders often use Fibonacci retracement and extension levels to identify potential support and resistance levels in price movements. These levels are based on ratios derived from the Fibonacci Sequence, such as 0.382, 0.618, or 1.618. By plotting these levels on price charts, traders can anticipate potential turning points or areas of interest, providing valuable insights for making investment decisions.
To summarize, the Fibonacci Sequence is applied in various real-life scenarios, from patterns in nature to financial analysis. Its properties and ratios yield insights that help optimize designs, understand growth patterns, and make informed decisions in different fields.