👉 Sequences in mathematics are ordered lists of numbers where each number follows a specific rule or pattern. These rules can involve arithmetic operations (like addition or subtraction), geometric relationships (such as multiplication or division by a constant factor), or more complex transformations. For example, the sequence 2, 4, 8, 16,... is an arithmetic sequence where each term is obtained by multiplying the previous term by 2. Alternatively, the sequence 1, 1/2, 1/4, 1/8,... is a geometric sequence where each term is half the previous one. Sequences can be finite or infinite, and they are fundamental in understanding functions, series, and various mathematical concepts like convergence and divergence.
