Definition of Sequence
Definition of Limit
NEW! Algebra of Limits for Sequences
If you are looking for pre-university level information on sequences and series, then have a look at the PurpleMath pages
If you want a few pages on sequences and series that have some glaring errors then look at SparkNotes. (Their summary of divergent series is wrong for example, consider the sum 1-1+1-1+1-1+…)
Of course, you probably will have seen the Wikipedia pages on sequences and series.
The Khan Academy has a number of pages related to sequences and series.
And here’s a video
Here are some books about sequences and series that I like.
Sequential Introduction To Real Analysis by JM Speight (Amazon UK) Full disclosure: The author is a colleague of mine!
Numbers, Sequences and Series by KE Hirst. (Amazon UK, Amazon US)
Sequences and Series by John A. Green (Amazon UK -from a penny!, Amazon US – a buck fifty!)
Theory and Application of Infinite Series by Konrad Knopp (Amazon UK, Amazon US)
Anything else you would like to see?
If there is anything else you would like to see, then leave a comment below.