A linear sequence is a list of numbers in which each term increases or decreases by a constant amount, known as the common difference. For example, in the sequence 2, 4, 6, 8, each number increases by 2. Linear sequences can be represented using a formula, typically in the form of a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. These sequences are fundamental in mathematics and are often used in various applications, including algebra and calculus. Understanding linear sequences helps in recognizing patterns and solving problems related to functions and graphs. They are also essential for more advanced topics, such as arithmetic progressions.