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

Checking and securing understanding of special number sequences

Fibonacci and alternating sequences

Checking and securing rules for generating arithmetic sequences

Identifying values in an arithmetic sequence

Reasoning about values in an arithmetic sequence

Conditions in arithmetic sequences

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

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?

Arithmetic sequences and their graphs

Lesson outcome