geometric sequences
[/dʒiːəˈmɛtrɪk ˈsiːkwənsɪz/]
nounpl: geometric sequences
progressões geométricas
1. A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio
The sequence 2, 6, 18, 54 is a geometric sequence with a common ratio of 3
A sequência 2, 6, 18, 54 é uma progressão geométrica com razão comum de 3
2. In mathematics, a sequence where consecutive terms have a constant multiplicative relationship
Geometric sequences are used to model exponential growth and decay in real-world applications
As progressões geométricas são usadas para modelar crescimento e decaimento exponencial em aplicações do mundo real
Geometric sequences are fundamental concepts taught in secondary mathematics in both Brazil and the United States. In Brazil, they are typically introduced in the 'ensino médio' (high school), while in the USA they appear in algebra and precalculus courses. The concept is essential for understanding compound interest, population growth, and viral spread in contemporary applications.
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