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

Securing understanding of arithmetic sequences

Maths

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.

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?

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