Sequence Information

In mathematics, a sequence is an ordered list of objects . Like a set, it contains members , and the number of terms is called the length of the sequence. Unlike a set, order matters, and the exact same elements can appear multiple times at different positions in the sequence. A sequence is a discrete function.

For example, is a sequence of letters that differs from , as the ordering matters. Sequences can be finite, as in this example, or infinite, such as the sequence of all even positive integers . Finite sequences are sometimes known as strings or words, and infinite sequences as streams. The empty sequence  is included in most notions of sequence, but may be excluded depending on the context.

There are various and quite different notions of sequences in mathematics, some of which are not covered by the notations introduced below.

Wikipedia, Sequence, (as of Apr 7, 2010)

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