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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.

fibonacci sequence worksheet example

Generating Sequences

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 .

generating sequences worksheet

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 .

sequences worksheet 3

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.

sequences 1

The image below shows the linear sequence 1, 6, 11, 16, 21. The nth term is 5n - 4.

sequences 2

The image below shows the quadratic sequence 9, 12, 17, 24 , 33. The nth term is n 2 + 8.

sequences 3

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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

GCSE Maths Sequences search worksheet

Subject: Mathematics

Age range: 11-14

Resource type: Game/puzzle/quiz

Tristanjones

Last updated

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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Just what I was looking for - thank you

Kept my stroppy year 8 set 5s working the whole lesson... Brilliant Thanks

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

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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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Geometric Sequence Worksheet

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 .

GCSE maths worksheets

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts. 

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GCSE Exam Questions – Quadratic Sequences

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GCSE Exam Questions – Nth Term of a Sequence

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GCSE Exam Questions – Laws of Indices

GCSE Exam Questions – Geometric Sequences

GCSE Exam Questions – Geometric Sequences

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IMAGES

  1. GCSE MATHS sequences worksheet

    gcse maths sequences worksheet

  2. Geometric Sequences Worksheet

    gcse maths sequences worksheet

  3. Sequences

    gcse maths sequences worksheet

  4. Quadratic sequences worksheet (or test) with answers

    gcse maths sequences worksheet

  5. Quadratic Sequences

    gcse maths sequences worksheet

  6. GCSE MATHS sequences worksheet

    gcse maths sequences worksheet

VIDEO

  1. Gr 12 Maths

  2. Geometric Sequence and nth term of Geometric Sequence

  3. SEQUENCE MATH 5 QUARTER 3 WEEK 6

  4. O Level/IGCSE

  5. MATHS: HOW TO FIND THE NEXT TWO TERMS FOR A SEQUENCE OF NUMBERS #1

  6. Sequences

COMMENTS

  1. Sequences

    1 Arithmetic sequences An arithmetic sequence is an ordered set of numbers that have a common difference between each term. If we add or subtract by the same number each time to make the sequence, it is an arithmetic sequence . Step-by-step guide: Arithmetic Sequence Arithmetic sequences examples Example 1: sequence with a term to term rule of +3.

  2. Sequences Practice Questions

    Next: Sequences nth Term Practice Questions GCSE Revision Cards. 5-a-day Workbooks

  3. PDF Name: GCSE (1

    Sequences Instructions Use black ink or ball-point pen. Answer all Questions. Answer the Questions in the spaces provided there may be more space than you need. Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out. Information The marks for each Question are shown in brackets

  4. PDF Mathematics (Linear) 1MA0 SEQUENCES

    Edexcel GCSE Mathematics ... The first five terms of an arithmetic sequence are 2 9 16 23 30 Find, in terms of n, an expression for the nth term of this sequence. ..... (Total 2 marks) 15. Here are the first five terms of a number sequence. 3 8 13 18 23 (a) Write down the ...

  5. Sequences and Finding the nth Term GCSE Maths

    There are two different ways you will be expected to work out a sequence: A term-to-term rule - each term in the sequence is calculated by performing a fixed set of operations (such as "multiply by 2 and add 3 ") to the term (s) before it. A position-to-term rule - each term in the sequence is calculated according to its position in the sequence.

  6. Sequences nth Term Practice Questions

    The Corbettmaths Practice Questions on the nth term for Linear Sequences. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Further Maths; GCSE Revision; Revision Cards; Books; ... Previous: Sequences Practice Questions. Next: Sensible Estimates Practice Questions. GCSE Revision ...

  7. GCSE MATHS sequences worksheet

    pdf, 405.28 KB A GCSE Maths Worksheet covering sequences and the nth term Suitable for GCSE Students sitting the 9 - 1, A-Level Maths students revision and some Key Stage 3 students. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. This was taken from my 150 Page workbook which covers many more maths topics.

  8. PDF Exam Style Questions

    3.!Here are the first four terms of a number sequence.!!11!15!19!23!(a) !(i) Write down the next term of the number sequence..... (1)! !(ii) Explain how you found your answer.!!..... (1)!The 100th term of the number sequence is 407.!(b) Work out the 99th term of the number sequence..... (1) 4.!Here are the first four terms of a number ...

  9. Arithmetic Sequence

    5 4 and 3 2 5 4 and 3 2. Subtract the first term from the next term to find the common difference, d. Show step. d = 3 2 − 5 4 = 6 4 − 5 4 = 1 4 d = 3 2 − 5 4 = 6 4 − 5 4 = 1 4. Add the common difference to the last term in the sequence to find the next term. Repeat for each new term. Show step.

  10. Sequences Worksheet

    Help your students prepare for their Maths GCSE with this free sequences worksheet of 30+ questions and answers Section 1 of the sequences worksheet contains 20+ skills-based sequences questions, in 3 groups to support differentiation

  11. Sequences

    GCSE Term-to-term sequences & Arithmetic vs Geometric Progressions. Covers the obscurer parts of the GCSE syllabus on sequences: term-to-term sequences (including Fibonacci like sequences) and Arithmetic and Geometric progressions. Report a Mistake. Download.

  12. Sequences Worksheets

    Sequences worksheets with questions and answers for gcse maths at foundation and higher. Each sequences worksheet targets a different gcse grade. Sequences worksheet 1 contains questions on the term-to-term rule. Sequences worksheet 2 asks questions on finding nth terms. Sequences worksheet 3 asks questions on generating sequences. Sequences worksheet 4 asks questions on linear sequences ...

  13. GCSE Maths Worksheets

    Exam GCSE Maths Worksheets by Topic. Order the worksheets above as physical booklets, printed and stapled with space for workings and answers. All questions have been created to match the design and style of the real exams. The MME GCSE Maths exam worksheets by topic get increasingly more difficult as you progress through them, with each ...

  14. Arithmetic Sequence Worksheet

    Help your students prepare for their Maths GCSE with this free arithmetic sequence worksheet of 36 questions and answers. Section 1 of the arithmetic sequence worksheet contains 27 skills-based arithmetic sequence questions, in 3 groups to support differentiation. Section 2 contains 3 applied arithmetic sequence questions with a mix of worded ...

  15. GCSE Maths Revision Worksheets. Foundation & Higher

    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.

  16. Maths Genie • Learn GCSE Maths for Free

    Grade 8/9. Free online GCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher GCSE. The content is suitable for the Edexcel, OCR and AQA exam boards.

  17. Sequences Textbook Exercise

    Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Further Maths; GCSE Revision; Revision Cards; Books; Sequences Textbook Exercise. Click here for Questions . Textbook Exercise. Previous: Sensible Estimates Textbook Exercise.

  18. Quadratic Sequences Questions

    Quadratic Sequences. A quadratic sequence is a sequence whose n^{th} term formula is a quadratic i.e. it has an n^2 term, so takes the form, \textcolor{red}{a}n^2+\textcolor{blue}{b}n+\textcolor{limegreen}{c}, where a, b, and c are all numbers. The resulting sequences don't have a common difference between each term as linear sequences do, but rather the difference between the differences ...

  19. Sequences Patterns Practice Questions

    The Corbettmaths Practice Questions on Sequences - Patterns ... Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Further Maths; GCSE Revision ... Similar Shapes Sides Practice Questions. Next: Surface Area of a Sphere Practice Questions. GCSE Revision Cards. 5-a-day Workbooks. Primary ...

  20. Geometric Sequences

    A geometric sequence (geometric progression) is an ordered set of numbers that progresses by multiplying or dividing each term by a common ratio. If we multiply or divide by the same number each time to make the sequence, it is a geometric sequence. The common ratio is the same for any two consecutive terms in the same sequence.

  21. GCSE Maths Sequences search worksheet

    pdf, 86.85 KB. I hate wordsearches where all the words are given, especially in Maths. What are they learning? What I do like to do is create puzzles, like this one, where a mathematical skill is required to generate the values that need to be found in the puzzle. One sequence seems to repeat, make sure you find both of them otherwise the code ...

  22. Nth Term Worksheet

    Help your students prepare for their Maths GCSE with this free nth term worksheet of 35 questions and answers. Section 1 of the nth term worksheet contains 27 skills-based nth term questions, in 3 groups to support differentiation. Section 2 contains 3 applied nth term questions with a mix of worded problems and deeper problem solving questions ...

  23. 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