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Power of <strong>Maths</strong>: Paper 1<br />

Chapter 12: Arithmetic Sequences and Series<br />

Activity 10<br />

ACTION<br />

Understanding an arithmetic sequence<br />

OBJECTIVE To understand an arithmetic sequence<br />

Activity 11<br />

ACTION Working with arithmetic sequences (1)<br />

OBJECTIVE To write down the first term and common difference of a number of arithmetic sequences<br />

Activity 12<br />

ACTION Working with arithmetic sequences (2)<br />

OBJECTIVE<br />

Activity 13<br />

ACTION<br />

OBJECTIVE<br />

Activity 14<br />

ACTION<br />

OBJECTIVE<br />

To explore various arithmetic sequences and to gain an understanding of how these<br />

sequences operate<br />

Exploring consecutive terms in an arithmetic sequence<br />

To practise a number of problems involving three consecutive terms in an arithmetic<br />

sequence<br />

Finding the sum of the first n natural numbers<br />

To verify Gauss’ formula by adding up the first 10 natural numbers<br />

Chapter 13: Geometric Sequences and Series<br />

Activity 15<br />

ACTION Understanding a geometric sequence<br />

OBJECTIVE To gain an understanding of a geometric sequence<br />

Activity 16<br />

ACTION Working with geometric sequences (1)<br />

OBJECTIVE To write down the first term and common difference of a number of geometric sequences<br />

Activity 17<br />

ACTION Working with geometric sequences (2)<br />

OBJECTIVE To explore various geometric sequences and to gain an understanding of how these<br />

sequences operate<br />

Activity 18<br />

ACTION Exploring consecutive terms in a geometric sequence<br />

OBJECTIVE To practise a number of problems involving three consecutive terms in a geometric<br />

sequence<br />

Activity 19<br />

ACTION Working with a geometric series<br />

OBJECTIVE To add the terms in a geometric series and to come to an understanding of how a summing<br />

formula simplifies the task<br />

Activity 20<br />

ACTION Working with the Σ notation<br />

OBJECTIVE To become familiar with how the Σ notation works<br />

30

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