1. A sequence of numbers or elements that does not have an upper or lower bound; a sequence where the absolute values of its terms can grow arbitrarily large without limit
The sequence 1, 2, 3, 4, 5, ... is an unbounded sequence because its terms increase indefinitely.
A sequência 1, 2, 3, 4, 5, ... é uma sequência ilimitada porque seus termos aumentam indefinidamente.
2. In mathematics, a sequence that is not bounded above or not bounded below, or both
The sequence of prime numbers forms an unbounded sequence since there are infinitely many primes.
A sequência dos números primos forma uma sequência ilimitada, pois existem infinitos primos.
This is a mathematical/technical term used universally in academic settings across English and Portuguese-speaking countries. It is fundamental to calculus and real analysis courses taught at the university level in both Brazil and Portugal, as well as in the United States.