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sequence |
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sequence, in mathematics, ordered set of mathematical quantities called terms. A sequence is said to be known if a formula can be given for any particular term using the preceding terms or using its position in the sequence. For example, the sequence 1, 1, 2, 3, 5, 8, 13, … (the Fibonacci sequence) is formed by adding any two consecutive terms to obtain the next term. The sequence − 1-2, 1, 7-2, 7, 23-2, 17, … is formed according to the formula (n2 − 2)/2 for the nth, or general, term. A sequence may be either finite, e.g., 1, 2, 3, … 50, a sequence of 50 terms, or infinite, e.g., 1, 2, 3, … , which has no final term and thus continues indefinitely. Special types of sequences are commonly called progressions progression, in mathematics, sequence of quantities, called terms, in which the relationship between consecutive terms is the same. An arithmetic progression is a sequence in which each term is derived from the preceding one by adding a given number, d, ..... Click the link for more information. . The terms of a sequence, when written as an indicated sum, form a series series, in mathematics, indicated sum of a sequence of terms. A series may be finite or infinite. A finite series contains a definite number of terms whose sum can be found by various methods. An infinite series is a sum of infinitely many terms, e.g. ..... Click the link for more information. ; e.g., the sum of the sequence 1, 2, 3, … 50 is the series 1 + 2 + 3 + … + 50. sequence 1. a. Cards a set of three or more consecutive cards, usually of the same suit b. Bridge a set of two or more consecutive cards 2. Music an arrangement of notes or chords repeated several times at different pitches 3. Maths a. an ordered set of numbers or other mathematical entities in one-to-one correspondence with the integers 1 to n b. an ordered infinite set of mathematical entities in one-to-one correspondence with the natural numbers 4. a section of a film constituting a single continuous uninterrupted episode 5. Biochem the unique order of amino acids in the polypeptide chain of a protein or of nucleotides in the polynucleotide chain of DNA or RNA 6. RC Church another word for prose sequence [′sē·kwəns] (computer science) To put a set of symbols into an arbitrarily defined order; that is, to select A if A is greater than or equal to B, or to select B if A is less than B. (engineering) An orderly progression of items of information or of operations in accordance with some rule. (geology) A sequence of geologic events, processes, or rocks, arranged in chronological order. A geographically discrete, major informal rock-stratigraphic unit of greater than group or supergroup rank. Also known as stratigraphic sequence. A body of rock deposited during a complete cycle of sea-level change. (mathematics) A listing of mathematical entitiesx1,x2… which is indexed by the positive integers; more precisely, a function whose domain is an infinite subset of the positive integers. Also known as infinite sequence. (meteorology) How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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