1. A sequence of numbers in which the difference between consecutive terms is constant
The sequence 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3
A sequência 2, 5, 8, 11, 14 é uma progressão aritmética com uma razão comum de 3
2. A mathematical pattern where each term is obtained by adding a fixed constant to the previous term
In arithmetic sequences, if a₁ is the first term and d is the common difference, the nth term is given by aₙ = a₁ + (n-1)d
Em progressões aritméticas, se a₁ é o primeiro termo e d é a razão, o n-ésimo termo é dado por aₙ = a₁ + (n-1)d
Arithmetic sequences are fundamental concepts taught in secondary mathematics education in both Brazil and the United States. In Brazilian schools (educação básica), they are typically introduced in the 2nd or 3rd year of ensino médio (high school). The term 'progressão aritmética' or 'PA' is universally recognized in Portuguese-speaking mathematics communities and appears consistently across all textbooks and educational materials.