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You can read a gentle introduction to Sequences in Common Number Patterns. What is a Sequence? A Sequence is a list of things (usually numbers) that are in order.
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.
For other uses, see Sequence (disambiguation). 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.
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.
6 de oct. de 2021 · Sequences. A sequence 1 is a function whose domain is a set of consecutive natural numbers beginning with \(1\). For example, the following equation with domain \(\{1,2,3, \dots\}\) defines an infinite sequence 2: \(a(n)=5 n-3\) or \(a_{n}=5 n-3\) The elements in the range of this function are called terms of the sequence.
This topic covers: Recursive and explicit formulas for sequences. Arithmetic sequences. Geometric sequences. Sequences word problems.
There are several types of sequences in math such as arithmetic sequences, quadratic sequences, geometric sequences, triangular sequences, square number sequences, cube number sequences, and triangular number sequences. Let us learn each of the sequences in detail in the upcoming sections.
