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  2. Sequence - Wikipedia

    en.wikipedia.org/wiki/Sequence

    An infinite sequence of real numbers (in blue). This sequence is neither increasing, decreasing, convergent, nor Cauchy. It is, however, bounded. 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).

  3. Palindrome - Wikipedia

    en.wikipedia.org/wiki/Palindrome

    A palindrome (/ˈpæl.ɪn.droʊm) is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as madam or racecar, the date "22/02/2022" and the sentence: "A man, a plan, a canal – Panama".

  4. Sturmian word - Wikipedia

    en.wikipedia.org/wiki/Sturmian_word

    The Fibonacci word is an example of a Sturmian word. The start of the cutting sequence shown here illustrates the start of the word 0100101001.. In mathematics, a Sturmian word (Sturmian sequence or billiard sequence [1]), named after Jacques Charles François Sturm, is a certain kind of infinitely long sequence of characters.

  5. Phonics - Wikipedia

    en.wikipedia.org/wiki/Phonics

    Reading by using phonics is often referred to as decoding words, sounding-out words or using print-to-sound relationships.Since phonics focuses on the sounds and letters within words (i.e. sublexical), [13] it is often contrasted with whole language (a word-level-up philosophy for teaching reading) and a compromise approach called balanced literacy (the attempt to combine whole language and ...

  6. On-Line Encyclopedia of Integer Sequences - Wikipedia

    en.wikipedia.org/wiki/On-Line_Encyclopedia_of...

    [8] [9] The database was at first stored on punched cards. He published selections from the database in book form twice: A Handbook of Integer Sequences (1973, ISBN 0-12-648550-X), containing 2,372 sequences in lexicographic order and assigned numbers from 1 to 2372.

  7. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    For example, the sequence 2, 6, 18, 54, ... is a geometric progression with a common ratio of 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with a common ratio of 1/2. Examples of a geometric sequence are powers r k of a fixed non-zero number r, such as 2 k and 3 k. The general form of a geometric sequence is

  8. Generalizations of Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of...

    A random Fibonacci sequence can be defined by tossing a coin for each position of the sequence and taking () = + if it lands heads and () = () if it lands tails. Work by Furstenberg and Kesten guarantees that this sequence almost surely grows exponentially at a constant rate: the constant is independent of the coin tosses and was computed in ...

  9. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a 1 {\displaystyle a_{1}} and the common difference of successive members is d {\displaystyle d} , then the n {\displaystyle n} -th term of the sequence ( a n {\displaystyle a_{n ...

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