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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 progressionsprogression,
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,
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. The terms of a sequence, when written as an indicated sum, form a seriesseries,
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.
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; e.g., the sum of the sequence 1, 2, 3, … 50 is the series 1 + 2 + 3 + … + 50.



a fundamental concept of mathematics. A sequence is a set of elements of any nature that are ordered as are the natural numbers 1,2,…, n…. It can be written in the form x1, x2, …, xn, … or simply {xn}. The elements of which it is composed are called its terms. Different terms of a sequence may be identical.

A sequence may be regarded as a function whose argument can take on only positive integral values—that is, a function defined on the set of natural numbers. To define a sequence, we can either specify its nth term or make use of a recurrence formula, by which each term is defined as a function of preceding terms. Fibonacci numbers, for example, are defined through a recurrence formula. The sequences most often encountered are those of numbers or functions. For example,

(1) 1, 2, …, n, …

that is, xn = n

If the terms of a sequence of numbers differ by an arbitrarily small amount from the number a for sufficiently large n, the sequence is said to be convergent, and a is called its limit. The limit of a sequence of functions is defined in a similar manner. For example, sequences (2) and (4) are convergent, and their limits are 0 and the function 1/(1 + x2), respectively. Sequences that are not convergent are said to be divergent. Sequences (1) and (3) are examples of divergent sequences.


(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.
An orderly progression of items of information or of operations in accordance with some rule.
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.
A listing of mathematical entities x1, 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.


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
References in periodicals archive ?
Of the 371 candidate genes sequenced to date, only 221 genes (60%) contained at least one ns-cSNP.
Earlier this year, Celera researchers called in 40 fruit fly scientists to help the company analyze the data encoded in the 120 million bases of the Drosophila melanogaster genome--the largest genome yet sequenced (SN: 2/26/00, p.
Each purified PCR product was fully sequenced on both strands with an ABI310 automated DNA sequencer (Perkin-Elmer).
From their tally of genes on chromosome 22, the scientists who sequenced it predict that the human genome contains at least 45,000 genes.
AJ238455], SHA89 [AJ586873], SHA63 [AJ238456], SHA66 [AJ238457], SHA52 [AJ238531], and SHA71 [AJ238535]) were randomly selected to represent the different HEV71 genotypes and were sequenced in their entirety.
This mapping has consumed most of the project's time so far; only about 3 percent of the human genome has been sequenced.
Klaus Heumann, CEO of Biomax, stated, "The number of sequences and sequenced genomes has grown tremendously over the last few years, and what we see now is only the 'tip of the iceberg'.
Although only the first half of the F gene was sequenced in this study, our data indicate that all A and B strains can be easily differentiated on the basis of unique amino acid changes, some of which are located in functional regions of the protein, e.
The timeline arguably dates back to 1955, the year a Nobel Prize-winning British biochemist named Frederick Sanger first sequenced the protein bovine insulin.
coli also provides a reference point for all the other small genomes being sequenced, because for many of those organisms there's very little known about their biology," she adds.
GE Global Research, the centralized research organization of the General Electric Company (NYSE: GE), today announced that it has received a $900,000 grant from National Human Genome Research Institute (NHGRI), part of the National Institutes of Health (NIH), to develop breakthrough technologies that will enable a human-sized genome to be sequenced for under $1,000 and take less than one day to complete.
In the United Kingdom, autochthonously acquired hepatitis E has been reported rarely and a short (98-bp) section of the virus genome has been sequenced from one such patient (8).

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