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a sequence is a function whose domain is the set of natural numbers.

natural numbers are all the negative and positive integers

A sequence exists as a function whose domain is the set of natural numbers.

Sequence

A sequence exists as a function whose domain is the set of natural numbers or a subset of the natural numbers. Usually use the symbol a to describe a sequence, where n is a natural number and a stands for the value of the function on n. Intuitively, a sequence exists just as an ordered list of (possibly infinitely many) numbers.

  • Natural numbers stand for the numbers that exist used for counting and are a part of real numbers.
  • A sequence exists as an enumerated collection of objects in which repetitions are permitted and order matters.

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