The n^th 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 When x is the variable, they have general form ax^2 + bx + c

Introducing 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

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

What is the $$10^\text{th}$$ term in the sequence with $$n^\text{th}$$ term rule $$2n^2 + 5$$?

What is the $$8^\text{th}$$ term in the sequence with $$n^\text{th}$$ term rule $$n^2 - 2n$$?

Match up the first 5 terms in these quadratic sequences with the correct common second difference. 

Match up the first 5 terms in these sequences with a possible sequence type. 

Which is the correct $$n^\text{th}$$ term rule for the quadratic sequence which starts: -8, -5, 0, 7, 16, ...?

What is the $$10^\text{th}$$ term in the quadratic sequence which starts 18, 21, 26, 33, 42, ...?

Which of these could be the first 4 terms in an arithmetic sequence?

Here is part of the sequence of square numbers: ... 49, 64, 81, 100, ... What is the common second difference for this sequence? 

What is the $$10^\text{th}$$ term in the sequence with $$n^\text{th}$$ term rule $$5n - 6$$?

Which of these are examples of quadratic expressions?

In the sequence with $$n^\text{th}$$ term rule $$4n-2$$ which term has the value 46?

The sequence of all square numbers starts 1, 4, 9, ... what is the $$20^\text{th}$$ term in this sequence?

Introducing quadratic sequences

Lesson outcome