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

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.

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?

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