A sequence is a series or continuation of elements.
Succession is the action and effect of happening (proceeding, coming, entering someone's place). Succession, therefore, is the continuation of someone or something in place of another person or thing.
For example: "The succession of coaches at the club saw four professionals pass in just one year ," "Rumors about the succession of the multinational manager did not take long to reach the ears of the board of directors."
Different uses of the term succession
Succession, from the Latin successio , is also the continuation or continuation of events, things or people : "A succession of fortuitous events caused us to reach the coast after midnight," "I can't understand how people like this program: it's a succession of rudeness and silly jokes" , "Tragedy struck the Kennedy family with a succession of accidents and attacks" .
The notion of succession, on the other hand, is linked to the offspring of a parent . Succession is the entry as an heir into the possession of a deceased person's fortune. The term even allows us to name the set of assets, rights and obligations that are transmitted to the heir or legatee: "I have to do the procedures for the succession of my parents' house."
Ecological succession or natural succession is the evolution of an ecosystem due to its own internal dynamics. This phenomenon involves the replacement of some species by others within an ecosystem.
The mathematical sequence , meanwhile, is an ordered set of terms that comply with a certain law. This is an application that is defined on natural numbers .
In law, succession is the set of assets, rights and obligations transmitted to the heir.
The contributions of Leonardo of Pisa
Also known by the (incorrect) name of the Fibonacci series , the Fibonacci sequence describes an infinite set of natural numbers that originates from 0 and 1, from which each one is the result of adding the previous two. This type of relationship is known as recurring , since to move forward you need to go back.
The author of this sequence was Leonardo of Pisa , a mathematician originally from Italy born in 1170 who called himself Fibonacci . Its applications range from mathematics to game theory (an area that studies interactions between formalized structures and processes decisions based on mathematical models), including computer science. On the other hand, it can be seen in biology; An example of this occurs in the way the leaves are arranged on the stems on the branches of trees and in the flora of artichokes (also called artichokes).
In principle, succession was proposed as a possible solution to a problem related to the crossing of rabbits: «a person adopts a pair of rabbits and wants to know the number to which their offspring will rise after a year, taking into account that their "Pups can give birth from the second month of life." This was published in 1202 by Leonardo of Pisa himself, in a book of arithmetic called " The Book of the Abacus ."
Contributions of other mathematicians to the Finobacci succession
It is worth mentioning that the elements that are part of this sequence are called Fibonacci numbers and that many of their properties were found by Édouard Anatole Lucas, an important 19th century French mathematician, who gave the sequence its current name.
Other people who made significant contributions to Leonardo of Pisa 's theory were Johannes Kepler , German astronomer and mathematician, and Robert Simson , Scottish mathematician; The latter ensured that any pair of successive Fibonacci numbers presents a relationship similar to the golden one (the golden numbers belong to the irrational numbers and are not considered units, but rather relationships or proportions between two segments) as they approach infinity .