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Infinite Sequence


An infinite sequence is a real function whose domain is the set of all positive integers.

A sequence a can be displayed in the form


The value a(n) is called the nth term of the sequence and is usually written an. The whole sequence is denoted by

<an> = a1, a2,... , an,....

Hyperintegers, which were introduced in Section 3.8, are a basic tool in this chapter. Since an is defined for every positive integer n, aH is defined for every positive infinite hyperinteger H.

Last Update: 2006-11-25