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The Fibonacci Sequence
Here are a selection of sequences maths worksheets with answers , starting with the term to term rule, and more advanced concepts like geometric sequences at worksheet number 7.
The graphic below shows expressions written as n which generate linear sequences. Finding the nth term for 3n + 2, n(1) = 5, n(2) = 8, n(3) = 11 and n(4) = 14. Finding the nth term for 4n - 1, n(1) = 3, n(2) = 7, n(3) = 11 and n(4) = 15. Finding the nth term for 7 - 2n, n(1) = 5, n(2) = 3, n(3) = 1 and n(4) = - 1. Linear sequences can be ascending or descending. Generating sequences involves substitution .
Sequences - Key Words
Geometric sequences was introduced in the UK curriculum with the introduction of the 9-1 grading system. It was previously a topic exclusive to A-Level mathematics. Suggested after topics include: quadratic graphs and functions .
Linear Sequences vs Quadratic Sequences
The diagrams below show two linear sequences and one quadratic sequence . The first linear sequence has a common difference of positive 4. The second linear sequence has a common difference of positive 5. See quadratic sequences to learn how to interpret quadratic sequences.
The image below shows the linear sequence 0, 4, 8, 12, 16. The nth term is 4n - 4.
The image below shows the linear sequence 1, 6, 11, 16, 21. The nth term is 5n - 4.
The image below shows the quadratic sequence 9, 12, 17, 24 , 33. The nth term is n 2 + 8.
Sequences Free Downloads – New & Engaging
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GCSE Maths Revision Worksheets
Here are the Metatutor Foundation & Higher maths revision worksheets. These are really useful tools in your revision, as they allow you to focus on weak areas. Solutions to each maths worksheet are also provided in case you get stuck and need to know how to solve the questions. The worksheets have been written in such a way to replicate real GCSE maths past papers, starting each topic off with easier questions, which become harder as you progress through the worksheet. The search function below allows you to find the specific topic you are looking for. You can also sort by Foundation and Higher or by topic name. Click on the Worksheet or Answers buttons to view the document in PDF form. If you want someone to work through some of these with you in person, book a free taster session . We also have a set of GCSE mini maths exams to test out your knowledge in realistic exam conditions. If you’ve already completed our maths worksheets and want more practice, here are some more excellent websites where you can find further free resources: CorbettMaths , MathsMadeEasy , TES
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GCSE Maths Sequences search worksheet
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20 January 2015
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Great work thanks. Is it possible to have the answer sheet as ffnmqm is the answer we got. Thanks
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Tristanjones, you are so right about wordsearches. In most cases they are an insulting waste of students' time that adds nothing to their knowledge or skills.
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Geometric Sequence Worksheet
Help your students prepare for their Maths GCSE with this free geometric sequence worksheet of 38 questions and answers
- Section 1 of the geometric sequence worksheet contains 27 skills-based geometric sequence questions, in 3 groups to support differentiation
- Section 2 contains 3 applied geometric sequence questions with a mix of worded problems and deeper problem solving questions
- Section 3 contains 8 foundation and higher level GCSE exam practice questions
- Answers and a mark scheme for all questions are provided
- Questions follow variation theory with plenty of opportunities for students to work independently at their own level
- All questions created by fully qualified expert secondary maths teachers
- Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Raise maths attainment across your school with hundreds of flexible and easy to use GCSE maths worksheets and lessons designed by teachers for teachers.
Geometric sequence at a glance
A geometric sequence is a number sequence with a common ratio. The number sequence may have integers, fractions, decimals or a combination.
The common ratio can be found by dividing consecutive terms of the geometric sequence and can be used to find the next term in the sequence by multiplying the previous term by the common ratio. The common ratio can also be used to find other missing terms in the sequence by multiplying or dividing terms by it.
If the number sequence is increasing this means that the common ratio is greater than one. If the number sequence is decreasing this means that the common ratio is less than one.
The first term and the common ratio can be used to write the nth term of a geometric sequence (or position-to-term formula).
Looking forward, students can progress with other sequences worksheets and on to additional algebra worksheets , for example a simplifying expressions worksheet or simultaneous equations worksheet .
For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.
GCSE Exam Questions – Quadratic Sequences
GCSE Exam Questions – Nth Term of a Sequence
GCSE Exam Questions – Laws of Indices
GCSE Exam Questions – Geometric Sequences
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Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.