What is a Sequence and a Recurrence Relationship?

In this video you are shown what a sequence is and how to define a recurrence relationship for the terms in the sequence. You are also presented with the following example using a recurrence relationship.

Tutorial on Sequences and Recurrence Relationships

Exam Questions on Recurrence Relationships with Worked Solutions

• Edexcel C1 June 2007 (Question 8)
• Edexcel C1 January 2008 (Question 7)
• Edexcel C1 June 2008 (Question 5)
• Edexcel C1 June 2009 (Question 7)

Introduction - What is an Arithmetic Progression?

In this tutorial you are shown what an arithmetic progression (A.P.) is and the formulae used to find the n^th term and the sum S_n of the first n terms in the sequence with a simple example.

You may wish to try the example as part of your revision.

(1)

Introduction to Arithmetic Progressions and Worked Solution to (1)

 

Proof of the Formula for S_n of an A.P.

Some exam boards expect you to be able to prove the formula for the sum S_n of the first n terms of an arithmetic sequence. In this video you are shown how.

Proof of the formula for S(n)

 

Series - Sigma Notation

In this video you are introduced to the difference between a sequence and a series and then sigma notation.

The following examples are covered.

Tutorial and Examples on Sigma Notation

 

 

 

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