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Learn what a sequence is, how to write it, and how to find its rule. Explore different types of sequences, such as arithmetic, geometric, and special sequences.
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.
In mathematics, a sequence is an ordered list of numbers or other mathematical objects that follow a particular pattern. Sequences are important in many areas of mathematics, including calculus, analysis, number theory, and discrete mathematics.
Sequences are a special type of function that are useful for describing patterns. In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems.
The sequence is a specified collection of objects in which repetitions are allowed and order matters. Formally, a sequence is a function from natural numbers to the elements at each position. Similar to a set, it contains members, and they are called elements or terms.
6 Οκτ 2021 · 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 \(a_{n}\).
What is a sequence? Here are a few lists of numbers: 3, 5, 7 ... 21, 16, 11, 6 ... 1, 2, 4, 8 ... Ordered lists of numbers like these are called sequences. Each number in a sequence is called a term. Sequences usually have patterns that allow us to predict what the next term might be.
