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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.
What is the Definition of Sequence? 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.
Mathematical Sequences. (sourced from Wikipedia) 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 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 \(a_{n}\).
18 paź 2018 · Learning Objectives. Find the formula for the general term of a sequence. Calculate the limit of a sequence if it exists. Determine the convergence or divergence of a given sequence. In this section, we introduce sequences and define what it means for a sequence to converge or diverge.
In math, a sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence. They follow what can be referred to as a rule, which enables you to determine what the next number in the sequence is.
