Sequences Worksheets – New & Engaging

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. Sequences worksheet 5 contains questions on quadratic sequences. Sequences worksheet 6 and sequences worksheet 7 contain questions on geometric sequences for foundation gcse maths grade 3 and grade 4.

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 fibonacci sequence

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

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 key words

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 n2 + 8.

sequences 3

Sequences Worksheets – New & Engaging

For Quadratic Sequences Cazoomy Worksheets try: Quadratic Sequences Worksheets. For Simplifying Expressions Cazoomy Worksheets try: Simplifying Expressions Worksheets. For Types Of Number Cazoomy Worksheets try: Types of Number Worksheets.