History and mathematics of the Fibonacci Sequence and the Golden Ratio

1) A brief history of the Fibonacci Sequence including information such as: How it was
discovered, Who discovered it, and other pertinent information. The mathematics of the Fibonacci Sequence
such as: What is the pattern of the sequence, and How unknown terms of the sequence can be found (give
examples).
2) A definition of the Golden Ratio – explaining how it is derived from the Fibonacci Sequence and a definition
of the Golden Rectangle.
3) Choose one of the following to do additional research on:
i) Fibonacci Numbers in Nature – Discuss and provide examples. Possible topics to
include in your research are flowers, pineapples, pinecones, and the leaf structure
of plants.
4) You should include at least two sources for this paper