Senior Maths Topics: Series and Sequences

Phoenix Senior Maths Topics provide thorough and detailed explanations, worked examples, summaries and practice exam questions on essential senior maths topics. Each book is a detailed treatment of a topic selected because of its importance in senior maths. They can be used at school, to supplement the textbook, providing more detail and exercises, and at home, to aid home study and exam preparation.

These books are for senior secondary students, particularly those who:

• want to study a topic in more depth
• are having difficulty with a topic

 Phoenix Senior Maths Topics books can be used:

• to learn and understand the topic: a full and detailed treatment of the topic with clear step-by-step explanations and plenty of worked examples.
• as a study and revision aid: a separate summary contains the information which has to be learned, as well as exercises and sample tests with typical examination questions. Solutions are provided.
• as a reference: all the relevant information is easy to find and easy to understand.

Series and Sequences Contents  

About this book

Chapter 1 Basic definitions

• Definitions, notation
• The general term of a series
• Sum of a series
• Given Sn find Tn

Chapter 2 Arithmetic progression

• Definition
• The general AP
• The sum of an AP
• The arithmetic mean

Chapter 3 Geometric progression

• Definition
• The general GP
• The sum of a GP
• The geometric mean

Chapter 4 Applications of AP

Chapter 5 Applications of GP

• Simple and compound interest
• Superannuation, annuities and time payments
• Sum to infinity
• Recurring decimals

Chapter 6 Miscellaneous problems

Chapter 7 Mathematical induction

Some preliminary results

Mathematical induction

Summary

Sample tests

Answers