Arithmetic sequence worksheet – Free KS3/4 maths resource

What's included?

PDF worksheet and solutions

Key Stage

KS3, KS4


Years 7-11


This arithmetic sequence worksheet helps students master arithmetic sequences through an array of thoughtfully curated questions. It covers the application of nth-term formulas, providing learners with a solid foundation in this fundamental concept.

This worksheet serves as an invaluable resource for classroom use, homework assignments, personalised one-on-one tutoring sessions and targeted interventions.

We’ve included an answer sheet in the download to facilitate independent learning and immediate feedback for students.

Arithmetic sequence worksheet

The worksheet is aligned with the KS3 algebra curriculum. It focuses on enabling students to recognise arithmetic sequences and determine the nth term. Learners will gain proficiency in deciphering patterns and formulating concise mathematical representations.

The questions provided encompass a range of complexities, challenging students to apply their understanding in a range of contexts. Whether tasked with predicting the next terms in a sequence, calculating the nth term or determining specific elements within a sequence, students are encouraged to employ critical thinking and analytical skills.

For instance, questions such as “Find the next two terms: 2, 5, 8, 11, …” prompt students to discern the underlying pattern and extend it accordingly.

Similarly, inquiries like “Find the nth term formula: 3, 11, 19, 27, …” encourage students to generalise patterns and derive explicit formulas.

This arithmetic sequence worksheet helps engage students in meaningful mathematical exploration. It equips them with the necessary skills to excel in algebraic reasoning and problem-solving.

Its structured approach, coupled with ample opportunities for practice and reflection, empowers students to navigate arithmetic sequences with confidence and proficiency.

David Morse has been a maths teacher for over 30 years, as well as an examiner. He creates primary and secondary resources which you can find on his TES shop and on his website You can also follow him on Twitter at @maths4everyone. Download 100+ problem-solving questions in our KS3 maths worksheets pack from White Rose Maths.

Arithmetic sequence worksheet
Arithmetic sequence worksheet – Free KS3/4 maths resource

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