In this PowerPoint, we introduce two different types of numerical sequences (arithmetic progression and geometric progression) as part of the syllabus for Pure Mathematics (AS Level).
We begin by detailing the main features for each of these sequences, showing examples as well as the rationale for the algebraic expression which provides the nth term. Additionally, we also show how to find the algebraic expressions for the sum of the first n terms, for both cases. It is important to note that these formulas are provided in most examinations and available to students, hence the way to derive them consists on additional skills for students to acquire.
In the last section, we explore different examples of worked exam-style questions, where all steps are clear and detailed.
Hopefully, this resource can assist students when preparing for their examinations but also as a complementary teaching tool.