A sequence can be finite, meaning it has a specific number of terms, or infinite, meaning it continues indefinitely. For example, 1, 5, 9, 13, is a sequence having a difference of 4 between each consecutive next term and each term can be represented in form 1 + 4 ( n 1 ) where n is the nth term of the. Most sequences are defined for all positive integers. By plugging any integer n into the explicit formula for the sequence, the n th term can be found. The formula a n 2n is called an explicit formula for the sequence. Each element in the sequence is called a term. In mathematics, the sequence is a collection or list of numbers that have a logical/sequential order or pattern between them. Here is an example sequence: a n 2n 2, 4, 6, 8, 10, where n is an integer. An arithmetic series is referred to as a series developed by using an arithmetic sequence.Ģ, 5, 8, 11, 14,… is an arithmetic sequence with a common difference of 3, and 2 + 5 + 8 + 11 + 14 +… is the corresponding arithmetic series. A sequence is a list of numbers (or elements) that exhibits a particular pattern. ISRO CS Syllabus for Scientist/Engineer ExamĪn arithmetic sequence is a sequence where each term of the sequence is formed either by adding or subtracting a common term from the preceding number, and the common term is called the common difference.
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