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 igual a 3
2. In mathematics, a series where the ratio between consecutive terms remains constant throughout the sequence
In the geometric sequence 5, 10, 20, 40, the common ratio is 2
Na progressão geométrica 5, 10, 20, 40, a razão comum é 2
This is a fundamental mathematical concept taught in secondary schools in both Brazil and the United States. In Brazilian mathematics education, progressão geométrica is a core topic in algebra and pre-calculus courses, often abbreviated as PG in casual academic discussion.