A constant sequence is a type of mathematical sequence where every term is the same. For example, in the sequence 5, 5, 5, 5, each term is equal to 5. This means that no matter how far you go in the sequence, the value remains unchanged. Constant sequences can be represented mathematically as a, a, a, a, where "a" is any fixed number. In terms of notation, a constant sequence can be expressed as a_n = a for all n, where "n" represents the position of the term in the sequence. Constant sequences are important in various areas of mathematics, including calculus and analysis, as they provide a simple example of convergence and limits.