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A sequence is a function whose domain consists of a set of natural numbers beginning with \(1\). In addition, a sequence can be thought of as an ordered list. Formulas are often used to describe the \(n\)th term, or general term, of a sequence using the subscripted notation \(a_{n}\).
- Arithmetic Sequences and Series
Arithmetic Sequences. An arithmetic sequence 12, or...
- 9.1: Sequences
Since a sequence is a function defined on the positive...
- 9.2: Sequences and Their Notations
A sequence is a function whose domain is the set of positive...
- Arithmetic Sequences and Series
A Sequence is a list of things (usually numbers) that are in order. Infinite or Finite. When the sequence goes on forever it is called an infinite sequence, otherwise it is a finite sequence. Examples: {1, 2, 3, 4, ...} is a very simple sequence (and it is an infinite sequence) {20, 25, 30, 35, ...} is also an infinite sequence.
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
18 paź 2018 · Since a sequence is a function defined on the positive integers, it makes sense to discuss the limit of the terms as \(n→∞\). For example, consider the following four sequences and their different behaviors as \(n→∞\) (Figure \(\PageIndex{2}\)):
A sequence is a function whose domain is the set of positive integers. A finite sequence is a sequence whose domain consists of only the first \(n\) positive integers. The numbers in a sequence are called terms .
In mathematics, informally speaking, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence.
A sequence is a list of numbers (or elements) that exhibits a particular pattern. Each element in the sequence is called a term. A sequence can be finite, meaning it has a specific number of terms, or infinite, meaning it continues indefinitely.
