"Non-increasing" refers to a sequence or set of numbers where each number is equal to or less than the one before it. This means that as you move through the list, the values do not rise; they either stay the same or decrease. For example, in the sequence 5, 4, 4, 2, 1, each number is either equal to or smaller than the previous one. In mathematics, non-increasing sequences are important in various fields, including statistics and computer science. They help in analyzing trends and patterns, such as in data sets where understanding the distribution of values is crucial for making informed decisions.