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Unit: Sequences and Series Module: Sequences The Limit of a Sequence Copyright 2001, Thinkwell Corp. All Rights Reserved. 1625 –rev 06/14/2001 A sequence is a pattern of numbers. If a sequence approaches a particular number as the index n gets larger, then the sequence is said to converge to that number. If not, the sequence diverges . A sequence is a collection of numbers. More importantly, a sequence is ordered. That means you can’t rearrange the terms—doing so changes the sequence. Sequences are notated in braces like this: {} n a . a is the name of the sequence. The subscript n tells you which term of the sequence you are talking about. If the subscript is just n , you’re talking about a general term. The natural numbers is an example of a sequence. Notice that the subscript tells you which term of the sequence you are talking about. So a 4 = 4. The subscript is called the index.
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.

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