The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
Section 1 Notes - Sequence terminology and recurrence relations
Section 2 Notes - Arithmetic sequences and series
Video proof for sum to n terms of an arithmetic series (required knowledge!)
Section 3 Notes - Geometric sequences and series
Video proof for sum to n terms of a geometric series (required knowledge!)
Video proof for sum to infinity of a convergent geometric series
(Formulae in yellow are not given in your exams - these must be learnt!)
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
Playlist 1 - General sequences and recurrence relations
Playlist 2 - Sigma notation
Playlist 3 - Arithmetic sequences
Playlist 4 - Geometric sequences
Playlist 5 - Modelling with sequences
Extra fun!
There are lots of other interesting sequences out there...
Time to start exploring! http://oeis.org/wiki/Welcome