An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant

Checking understanding of arithmetic sequences

Maths

Securing understanding of arithmetic sequences

Features of geometric sequences

Recognising geometric sequences

Representing geometric sequences graphically

Features of special number sequences

Recognising special number sequences

Graphing special number sequences using technology

Extrapolating a sequence

Problem solving with non-linear relationships

In this unit, pupils considered geometric sequences and how they might be represented graphically. In this future unit, pupils study the graphical representation to link features of the graph to its equation.

In the sequences unit, pupils learnt how to graphically represent an arithmetic sequence. In this unit, pupils now consider geometric sequences and how these can be represented graphically.

In this unit we explore geometric and special number sequences like the Fibonacci sequence. We develop strategies to recognise types of sequence and continue them.

Non-linear relationships

An $$n^{\text{th}}$$ term expression such as $$7n-15$$ is called a ...

Which of the below are arithmetic sequences?

Match the $$n^{\text{th}}$$ term expression to the first term of the sequence.

Which of the following are in the first five terms of the sequence $$5n-4$$?

 Match each $$n^{\text{th}}$$ term expression to the $$50^{\text{th}}$$ term of the sequence. You may use a calculator.

Which of these arithmetic sequences could be represented by this graph?

In the context of the arithmetic sequence 13, 20, 27, 34, 41, ..., you can call +7 the __________.

Match each arithmetic (linear) sequence to its term-to-term rule.

Select the terms that are in this arithmetic sequence: 7, 15, 23, 31, ... 

Which of these terms are in the sequence described by "Start on 5 and add 3 each time"?

Select the expressions that have a value of 33 when $$n=10$$.

Find the value of the expression $$9-6n$$ when $$n=4$$.

Checking understanding of arithmetic sequences

Lesson outcome