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

The n^th term of a sequence is the position of a term in a sequence where n stands for the term number.

Identifying values in an arithmetic sequence

Maths

Checking and securing understanding of special number sequences

Fibonacci and alternating sequences

Checking and securing rules for generating arithmetic sequences

Reasoning about values in an arithmetic sequence

Conditions in arithmetic sequences

Arithmetic sequences and their graphs

Introducing quadratic sequences

Quadratic sequences

Checking and securing understanding of geometric sequences

Sequence notation

Advanced problem solving with further sequences

In the prior unit, pupils considered other types of graphs. In this unit, pupils consider different types of sequences such as Fibonacci and oscillating. Their knowledge is consolidated by linking all prior learning together.

In this unit, pupils consider different types of sequences such as Fibonacci and oscillating sequences. They then consolidate their knowledge of different types of sequences by solving contextual problems.

Further sequences

In sequence notation, $$T$$ is the term and $$n$$ is the term's __________.

Which of these are the first three terms of the sequence $$2n-1$$?

Which of these are the first five terms of the sequence $$20-7n$$?

What is the $$50^\text{th}$$ term of the sequence $$8n-38$$?

What position is the term 258 in the sequence $$8n-38$$?

Which of the below are in the sequence $$12n-15$$?

An arithmetic sequence has a common additive difference between successive terms. They are also frequently called __________ sequences.

In the linear equation $$y=6x-3$$ what is the value of $$y$$ when $$x=3$$?

In the linear equation $$y=6x-3$$ what is the value of $$x$$ when $$y=3$$?

Match the $$x$$ values to their respective $$y$$ values for the linear equation $$y=5-7x$$

Solve the equation $$3x-17=451$$  $$x=$${{}}

Solve the equation $$4x+81=1000$$ and give your answer as a decimal.  $$x=$${{}}

Starter Quiz

An arithmetic sequence has a common additive difference between successive terms. They are also frequently called __________ sequences.