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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.
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 \(a_{n}\).
A sequence is a collection of ordered and indexed items, often numbers arranged according to a certain rule or pattern. In mathematics, sequences are usually represented by a series of terms, each of which corresponds to a particular position or index in the sequence.
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Sequences are ordered lists of numbers (called "terms"), like 2,5,8. Some sequences follow a specific pattern that can be used to extend them indefinitely. For example, 2,5,8 follows the pattern "add 3," and now we can continue the sequence. Sequences can have formulas that tell us how to find any term in the sequence.
Sequences are the list of numbers with specific rules. Learn about sequence definition, rules, patterns in sequences and examples of different sequences, here at BYJU’S.
A particularly common and useful sequence is \( \{r^n\}_{n=0}^{\infty}\), for various values of \(r\). Some are quite easy to understand: If \(r=1\) the sequence converges to 1 since every term is 1, and likewise if \(r=0\) the sequence converges to 0. If \(r=-1\) this is the sequence of example 11.1.7 and diverges. If \(r>1\) or \(r < -1\) the ...
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 set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for more details.