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.

Arithmetic sequences and their graphs

Maths

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.

Further sequences

Arithmetic sequences like this one are also called ________ because they increase or decrease in a straight line.

Which term does not belong in this arithmetic sequence?

What is the constant additive difference in this linear sequence?

What is the next coordinate pair we would plot when graphing this arithmetic sequence?

What is the $$n^\text{th}$$ term of the arithmetic sequence graphed here?

Arithmetic sequences have a __________ difference between successive terms.

Which of these will be amongst the first five terms of the arithmetic sequence $$3n-2$$?

Which values are missing from this table for the linear equation $$y=7x-9$$?

Here is a table of values for the linear equation $$y=6x-4$$ When graphing this equation which coordinate pairs would you plot?

This lesson will be removed by end of Summer Term 2025.

Arithmetic sequences and their graphs

Lesson outcome

This lesson will be removed by end of Summer Term 2025.