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## GCSE MATHS sequences worksheet

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

21 January 2021

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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. Please check it out here https://www.tes.com/teaching-resource/gcse-mathematics-150-page-summer-holiday-workbook-11940692

Or alternatively Check my store for other individual free worksheets such as this one. If you like it please leave a comment below, use the rating system or send us a message. All feedback is valued & welcome.

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Worksheet was quit useful

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## 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
- Section 2 of the resource contains 3 applied sequences questions with a mix of worded problems and deeper problem solving questions
- Section 3 contains 3 foundation and higher level GCSE practice and exam questions
- Answers and a mark scheme for all sequences 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.

## Sequences at a glance

Sequences are a set of numbers that have a starting number and go on forever. Number sequences can increase or decrease and can be whole numbers, fractions or decimals.

There are different ways to classify a sequence including arithmetic sequences and geometric sequences. Arithmetic sequences have a common difference and geometric sequences have a common ratio. The common difference or common ratio can be used to continue a sequence, or to find missing terms within the sequence and may be referred to as the term-to-term rule.

Arithmetic sequences are based on multiples which can be used to find the nth term rule (or nth term formula) by calculating the common difference by subtracting two consecutive terms in the sequence. The common difference gives the coefficient of the n in the nth term formula.

The nth term can be referred to as the position-to-term rule and can be used to find a particular term in the sequence or used to check if a particular value is in the sequence or not. A sequence that is increasing or decreasing by the same amount is called a linear sequence.

There are other types of sequences such as the square numbers that form a sequence which is involved in quadratic sequences. Other non-linear sequences include the cube numbers and the powers of 10. There is also the Fibonacci sequence where the next term is found by adding the previous two terms. Triangular numbers is another special sequence which is useful to know.

Looking forward, students can progress with other sequences worksheets and on to additional algebra worksheets , for example a simplifying expressions worksheet , straight line graph 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.

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Sequences - GCSE Maths - Steps, Examples & Worksheet GCSE Maths Algebra Sequences Sequences Here we will learn about different types of sequences including arithmetic sequences, geometric sequences and quadratic sequences and how to generate them and find missing terms, along with special sequences like the fibonacci sequence.

The Corbettmaths Practice Questions on Sequences. Videos, worksheets, 5-a-day and much more

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.

19 Here are the first five terms of an arithmetic sequence. 21 27 33 39 45 Write down an expression, in terms of n, for the nth term of the sequence. 18 Here are the first four terms of an arithmetic sequence. 35 31 27 23 Write down an expression, in terms of n, for the nth term of the sequence. (Total for Question 18 is 2 marks)

This worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic.

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