tallfølger

Tallfølger is a Norwegian word that translates to "number sequence" or "sequence of numbers." It refers to an ordered list of numbers, where each number is called a term or an element of the sequence. These terms are often generated by a specific rule or formula, though a sequence can also be defined by an arbitrary listing of numbers.

Sequences can be finite, meaning they have a limited number of terms, or infinite, continuing indefinitely. The order of the terms is crucial, distinguishing one sequence from another even if they contain the same numbers. For example, the sequence 1, 2, 3, 4 is different from 4, 3, 2, 1.

Mathematical sequences are fundamental in various branches of mathematics, including calculus, algebra, and discrete mathematics. They are used to model patterns, describe growth, and solve problems in numerous scientific and engineering fields. Common examples of sequences include arithmetic sequences, where the difference between consecutive terms is constant, and geometric sequences, where the ratio between consecutive terms is constant.

In computer science, sequences are often represented as arrays or lists, and algorithms are designed to process and manipulate them. The concept of a tallfølge is therefore a foundational element in both theoretical and applied mathematics and computer science.