Maths
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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 />
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