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

Calculating any term

Maths

The sequences unit allowed pupils to explore different ways of generating sequences and then representing an arithmetic sequence graphically. This serves as an introduction to the future unit on graphical representations of linear equations.

In the prior unit, pupils extended their knowledge of plotting coordinates from KS2 by plotting non-integer values. Pupils learnt that a set of points can satisfy a relationship and this understanding is built on in this unit.

Sequences

The $$n^\text{th}$$ term can be used to calculate any term in a sequence so we can call it a __________ for finding the $$n^\text{th}$$ term.

If the $$n^\text{th}$$ term is $$3n+7$$ what are the first five terms?

What is the 5$$^\text{th}$$ term of $$0.3n + 0.07$$?

What are the first five terms of $$10-2n$$?

The 50$$^\text{th}$$ term of the sequence $$2n-1$$.

The 15$$^\text{th}$$ term of the sequence $$6n+10$$.

The 101$$^\text{st}$$ term of the sequence $${1 \over 2} n + 50$$.

The 9$$^\text{th}$$ term of the sequence $$200-11n$$.

Order these term values from lowest to highest.

Which statements are true for the arithmetic sequence $$1.25n-0.3$$?

Which of these words is also used to describe an arithmetic sequence?

Which is the simplified version of $$2 \times a + 5 \times b + 3$$?

If $$a=5$$ and $$b=7$$ what is the value of the expression $$2a+5b+3$$?

Evaluate the expression $$70-3x$$ when $$x=50$$.

Given that $$a=9$$. $$b=-7$$. Put these expressions in order from lowest to highest value.

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

Calculating any term

Lesson outcome

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