👉 Sequences in mathematics are ordered lists of numbers or elements, where each element follows a specific pattern based on the previous one. The sequence progresses in a defined manner, such as arithmetic (where each term increases or decreases by a constant difference) or geometric (where each term is obtained by multiplying the previous one by a fixed constant). For example, in an arithmetic sequence like 2, 5, 8, 11, 14, the common difference is 3; in a geometric sequence like 3, 6, 12, 24, each term is multiplied by 2 to get the next. Understanding sequences helps in predicting future terms, analyzing patterns, and solving problems in various fields like finance, physics, and computer science.
