Numerical patterns are sequences of numbers that follow a specific rule or formula. These patterns can be found in various forms, such as arithmetic sequences, where each number is obtained by adding a constant value, or geometric sequences, where each number is multiplied by a constant factor. Recognizing these patterns helps in predicting future numbers in the sequence. Identifying numerical patterns is essential in mathematics and can be applied in real-life situations, such as budgeting or scheduling. They also play a crucial role in fields like computer science and statistics, where understanding data trends is vital for analysis and decision-making.