Pascal Triangle and its relationship between Fibonacci Sequence and Binomial Expansion

Who is Pascal?
Blaise Pascal (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer and Christian philosopher. He was a child prodigy who was educated by his father, a tax collector in Rouen. Pascal's earliest work was in the natural and applied sciences where he made important contributions to the study of fluids, and clarified the concepts of pressure and vacuum by generalizing the work of Evangelista Torricelli (who was the creator of the barometer). Pascal also wrote in defense of the scientific method.

His notable contributions:
Pascal's Wager
Pascal's triangle
Pascal's law
Pascal's theorem

DID YOU KNOW: He gave up work in maths in 1654 due to a religious experience (He was a Roman Catholic)

Pascal Triangle

Relationship between Pascal Triangle and Fibonacci Sequence
The squares adjacent to each other can be used to derive the Fibonacci sequence.
Each line is x2 of the earlier line (Besides line one)

The relationship between the Pascal Triangle and Binomial Expansion


Done by: Charlene, Dylaine, Esther, Jemaimah, Aziel and Dawn

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