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Infinite Sequence
DEFINITION 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 a(1),a(2),...,a(H),.... The value a(n) is called the nth term of the sequence and is usually written a_{n}. The whole sequence is denoted by <a_{n}> = a_{1}, a_{2},... , a_{n},.... Hyperintegers, which were introduced in Section 3.8, are a basic tool in this chapter. Since an is defined for every positive integer n, a_{H} is defined for every positive infinite hyperinteger H.


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