He is best known for introducing the Fibonacci sequence to the Western world. His influential work, “Liber Abaci,” was published in 1202. Fibonacci’s contributions significantly impacted mathematics and number theory.
He traveled extensively in the Mediterranean, which influenced his work.
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The diagonals of the Pascal’s triangle add up to the terms of the fibonacci sequence. Any term in the sequence is the sum of the two prior terms. Example: 1 + 1 = 2, 2+1 = 3, 3+2=5,5+3=8, etc. So the sequence is {1,1,2,3,5,8,13,21,34,55,89,… to find the nth term one must use the following formula, where φ = 1.618 the golden ratio.
The formula wasn’t developed by Fibonacci. It was later derived by Abraham de Moivre in the 18th century. The Fibonacci sequence solved the rabbit population problem that was presented to Pascal in the 1600’s. Where n represents the generation and the nth term is the population expectation. Rabbits were used in this example since rabbits have a gestation of 30 days and are sexually mature at 30 days old, having up to 12 offspring in one litter.