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

Securing understanding of arithmetic sequences

Maths

Checking 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

In the $$n^{\text{th}}$$ term expression $$9n-7$$, you call $$9$$ the __________ of $$n$$.

What is the common difference in the arithmetic sequence $$6n-3$$?

Match each sequence to its $$n^{\text{th}}$$ term.

405 is a term in the arithmetic sequence with the rule $$7n-50$$. What is its position in the sequence? $$n=$${{}}

Yes, because $$189$$ is odd and the sequence contains a lot of odd numbers.

No, because $$189$$ is odd and the sequence is mostly even.

No, because $$7n-50=189$$ has a non-integer solution.

Is $$189$$ a term in the arithmetic sequence $$7n-50$$?

Which expressions could be used to generalise the arithmetic sequence 5, 9, 13, 17, 21, ...?

The arithmetic (linear) sequence 17, 21, 25, 29, 33, ... has a(n) _________ of +4.

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

The solution to the two-step equation $$8x-13=83$$ is $$x=$${{}}

Which is true of the solution to the equation $$3x-10=3$$

$$8, 13, 18, 23, 28, ...$$ are the first five terms of which sequence?

Starter Quiz

The arithmetic (linear) sequence 17, 21, 25, 29, 33, ... has a(n) _________ of +4.