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Unit:
Sequences and Series
Module:
Sequences
The Limit of a Sequence
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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.
 Spring '10
 hyon

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