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Explain why the set of natural numbers is used in the general term of a sequence
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High School Teacher
A sequence is an ordered list of numbers. There is a first term, a second term, etc... It makes no sense to ask about the 1/2th term.
Thus we speak of the general term, or nth term, where `n in NN` (n is a natural number.) The formula for the nth term, if there is one, must involve n so that terms are differentiated. (Not all sequences have a formula for the nth term, or are able to be described by a general term. For instance, the sequence of primes has no formula for the nth term. Nor does the sequence of the digits in the decimal expansion for pi.)
Posted by embizze on January 13, 2013 at 8:07 PM (Answer #1)
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