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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, with examples and exercises.
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.
Learn what sequences are, how to identify patterns and formulas, and how to extend them indefinitely. Watch a video and read comments from other learners on Khan Academy.
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.
Learn how to define, extend, and manipulate arithmetic and geometric sequences using recursive and explicit formulas. Solve word problems involving sequences and test your knowledge with unit test.
Learn what a sequence is and how to identify different types of sequences such as arithmetic, geometric, quadratic, harmonic, and more. Find out how to calculate the order, common difference, common ratio, and partial sums of sequences.
