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Extra practice for Year 13 Arithmetic and Geometric Sequences Worksheet — Level 3: the same skill with fresh questions.

WorksheetYear 13Level 3 · Challenge

Free Year 13 Arithmetic and Geometric Sequences Worksheet — Level 3 — Practice Set 4

Practice Set 4 for Year 13 Arithmetic and Geometric Sequences Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.

More practice: Set 1 · Practice Set 2 · Practice Set 3 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 13
Subject
Maths
Topic
Sequences & Series
Difficulty
Level 3 · Challenge
Estimated time
20 minutes
Curriculum
New Zealand Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • identifying arithmetic and geometric sequences
  • finding the nth term
  • summing arithmetic and geometric series

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 13 Arithmetic and Geometric Sequences Worksheet — Level 3 — Practice Set 4

More resources for this topic are coming soon.

← Easier: Level 2 · StandardStudy guide

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 13 students (typically ages 17–18) working on sequences & series. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 20 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Explore more Year 13 mathematics resources.

Preview

Success TutoringWorksheetsYear 13 · Mathematics · Sequences & Series

Year 13 Arithmetic and Geometric Sequences Worksheet — Level 3 — Practice Set 4

Name

Date

Score /

Arithmetic: Tₙ = a + (n − 1)d. Geometric: Tₙ = arn − 1. Show your working.

1.For the geometric sequence 3, −6, 12, −24, …, write the common ratio and the rule for the nth term. (answer space)
2.For the arithmetic sequence −2, 6, 14, 22, …, write the common difference and the rule for the nth term. (answer space)
3.Find the sum of the first 13 terms of the arithmetic sequence 18, 14, 10, 6, …
4.Find the 22th term of the arithmetic sequence 16, 10, 4, −2, …
5.Find the 11th term of the arithmetic sequence 11, 17, 23, 29, …
6.For the arithmetic sequence 16, 15, 14, 13, …, write the common difference and the rule for the nth term. (answer space)
7.For the geometric sequence −3, −12, −48, −192, …, write the common ratio and the rule for the nth term. (answer space)
8.Find the 6th term of the geometric sequence 4, 8, 16, 32, …
9.Find the sum of the first 27 terms of the arithmetic sequence 15, 19, 23, 27, …
10.Find the sum of the first 11 terms of the arithmetic sequence 1, 6, 11, 16, …
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Preview — the PDF contains the full resource and answer sheet.

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    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. A challenge set for students ready to…

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Sequences & Series in other year levels

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

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