Sequences and Series
Section overview:
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.
Notes:
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
Summary questions:
(Formulae in yellow are not given in your exams - these must be learnt!)
Extra resources:
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