Start with a single pair of rabbits. Any pair of rabbits of one generation will produce a pair for the next generation, and then another pair of rabbits for the generation after that. But then they will die. How many rabbits will be produced in the nth generation?
The answer to this well-known problem is the famed Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21…to get each subsequent term, add the sum of the two numbers that precede it. For example, 1+1=2= the third term in the sequence.
A fascinating extension to this sequence is that the Fibonacci numbers turn up in many areas of nature, as will be later discussed. Also, this sequence can be directly related to the Golden Ratio (1+√5/2 ) which results in the Golden Number Phi (1.618033988749…).
An amazing finding concerning the sequence is that the ratio of two consecutive Fibonacci numbers approaches the golden ratio or the golden number Phi. For example:
5/3 = 1.6666…
The values become closer and closer to the golden number as the sequence continues, which is a fascinating discovery.
Other than his great mathematical discoveries, there is very little known about Fibonacci’s personal life. However, these discoveries have made a tremendous impact on the mathematical world.