More Lessons for GCSE Maths
Examples, solutions, videos, games, activities and worksheets that are suitable for GCSE Maths.
The following figure shows how to derive the formula for the nth term of a quadratic sequence. Scroll down the page for examples and solutions on how to use the formula.
The following figure shows how to derive the formula for the nth term of a cubic sequence. Scroll down the page for examples and solutions on how to use the formula.
How to find the nth term of a quadratic sequence?
When trying to find the nth term of a quadratic sequence, it will be of the form
an2 + bn + c
where a, b, c always satisfy the following equations
2a = 2nd difference (always constant)
3a + b = 2nd term - 1st term
a + b + c = 1st term
1. Find the nth term, Tn of this sequence
3, 10, 21, 36, 55, ...
2. Find the nth term, Tn of this sequence
0, 7, 20, 39, 64, ...
Nth term of a Quadratic Sequence
GCSE Maths revision Exam paper practice
(a) The nth term of a sequence is n2 - 2n.
Work out the first three terms of the sequence.
(b) Work out the nth term of the sequence 5, 6, 8, 11, 15, ...
Linear and Quadratic Nth Terms of Sequences
GCSE Maths revision Exam paper practice and help
AQA Linked Paired Pilot Methods 2 Higher Jan 2012 Question 11
(a)Work out the nth term of the sequence
6, 11, 16, 21, 21, ...
(b) Work out the nth term of the sequence.
9, 15, 23, 33, 45, ...
Nth Term of a Quadratic Sequence
Find the nth (general) term of a quadratic sequence by using a method of differences
What is the nth term of this quadratic sequence?
2, 17, 40, 71, 110, 157, ...
Nth Term of a Cubic Sequence
How to derive the formula for the nth term of a cubic sequence?
Find nth term of the following cubic sequences
-6, -4, 10, 42, 98, 184, ...
17, 59, 143, 287, 509, 827, ... Nth Term of a Cubic Sequence
Find the nth (general) term of a cubic sequence by using a method of differences.
What is the nth term of this cubic sequence?
0, -12, -52, -132, -264, -460, ...
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Description of Levels
Level 1 - Quadratic sequences of the form n2 + c
Level 2 - Quadratic sequences of the form an2 + c
Level 3 - Quadratic sequences of the form an2 + bn + c
Exam Style questions are in the style of GCSE exam paper questions and worked solutions are available for Transum subscribers.
Handshakes - Try this lesson Starter which can generate a quadratic number sequence.
This video explains how to find the nth term of a quadratic sequence and is from Mr Hegarty.
A shorter, concise method is shown here.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.