- In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed
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Sequence | Digital Agency facts
- Like a set, it contains members (also called elements, or terms)
- The number of elements (possibly infinite) is called the length of the sequence
- Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence
- Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first n natural numbers (for a sequence of finite length n)
- The position of an element in a sequence is its rank or index; it is the integer from which the element is the image; it depends on the context or of a specific convention, if the first element has index 0 or 1
- When a symbol has been chosen for denoting a sequence, the nth element of the sequence is denoted by this symbol with n as subscript; for example, the nth element of the Fibonacci sequence is generally denoted Fn
- For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last
- This sequence differs from (A, R, M, Y)
- Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence
- Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,
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