recurrent sequence

[rɪˈkɜrənt ˈsiːkwəns]
nounpl: recurrent sequences
sequência recorrente
1. A sequence of numbers or terms where each term is determined by a fixed mathematical rule involving one or more previous terms
The Fibonacci sequence is a famous example of a recurrent sequence where each term equals the sum of the two preceding terms.
A sequência de Fibonacci é um exemplo famoso de sequência recorrente onde cada termo é igual à soma dos dois termos anteriores.
2. In mathematics, a sequence defined by a recurrence relation that describes how each element relates to its predecessors
A linear recurrent sequence can be expressed using a recurrence relation like a(n) = c₁a(n-1) + c₂a(n-2).
Uma sequência linear recorrente pode ser expressa usando uma relação de recorrência como a(n) = c₁a(n-1) + c₂a(n-2).
This is a technical mathematical term used universally in academic and scientific contexts in both Brazil and the USA. It appears frequently in textbooks on discrete mathematics, computer science, and numerical analysis. The term has no colloquial usage and is exclusive to mathematical discourse.
Synonyms / Sinônimos
recursive sequencerecurrence relationiterative sequence
Antonyms / Antônimos
independent sequencearbitrary sequence

Regional Variations

General Brazilian
sequência recorrente
Standard academic and mathematical terminology
São Paulo
sequência recorrente
Used in universities and mathematical contexts
Portugal
sequência recorrente
Same as Brazilian Portuguese; universal academic term
USA
recurrent sequence
Standard mathematical and computer science terminology

Related Words

recurrence relationFibonacci sequencelinear recurrencecharacteristic equation

Related Idioms & Phrases

defining a recurrent sequence
solving a recurrent sequence
closed-form solution of a recurrent sequence
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