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

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

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, ... ?

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

Quadratic sequences

Lesson outcome

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