sequence (redirected from Infinite sequence)

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

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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