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

A quadratic is an equation, graph, or sequence whereby the highest exponent of the variable is 2

Quadratic sequences

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

Arithmetic sequences and their graphs

Introducing 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

Which two sequences from the options below could be added to make the quadratic sequence which starts: 3, 7, 13, 21, ...?

Which two sequences from the options below could be added to make the quadratic sequence which starts: 3, 7, 15, 27, ...?

What is the correct $$n^\text{th}$$ term rule for the quadratic sequence which starts 3, 3, 5, 9, 15, ...?

The $$n^\text{th}$$ term rule for the quadratic sequence 4, 9, 16, 25, ... is $$n^2 + $${{}}$$n + 1$$

What is the correct $$n^\text{th}$$ term rule for the quadratic sequence which starts -3, 1, 11, 27, 49, ... ?

What is the correct $$n^\text{th}$$ term rule for the quadratic sequence which starts -1, -6, -15, -28, -45, ... ?

Which of these could be the first 5 terms of a quadratic sequence? 

Match the first 5 terms of these quadratic sequences to their common second differences. 

Which is the correct $$n^\text{th}$$ term rule for the quadratic sequence which starts: 3, 6, 11, 18, 27, ...?

The quadratic sequence which starts: 13, 16, 21, 28, ... has $$n^\text{th}$$ term rule $$n^2 +$$ {{}}

What is the $$n^\text{th}$$ term of the linear sequence which starts -1, -2, -3, -4, ... ?

What is the $$n^\text{th}$$ term of the linear sequence which starts -1, 2, 5, 8, ... ?

Starter Quiz

Which of these could be the first 5 terms of a quadratic sequence?