Success TutoringWorksheets
WorksheetYear 12Level 2 · Standard

Free Year 12 Arithmetic and Geometric Sequences Worksheet — Level 2

Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Expected-level practice for this year group. This Year 12 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

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

Year
Year 12
Subject
Maths
Topic
Sequences & Series
Difficulty
Level 2 · Standard
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 12 Arithmetic and Geometric Sequences Worksheet — Level 2

  1. 1Year 12 Arithmetic and Geometric Sequences Worksheet — Level 3
← Easier: Level 1 · EasierHarder: Level 3 · Challenge →Study 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 12 students (typically ages 16–17) working on sequences & series. It is pitched at level 2 · standard; an easier version and a harder version are 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?

Try Year 12 Arithmetic and Geometric Sequences Worksheet — Level 3.

Preview

Success TutoringWorksheetsYear 12 · Mathematics · Sequences & Series

Year 12 Arithmetic and Geometric Sequences Worksheet — Level 2

Name

Date

Score /

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

1.Find the sum of the first 16 terms of the arithmetic sequence 11, 17, 23, 29, …
2.Find the 15th term of the arithmetic sequence 8, 3, −2, −7, …
3.Find the 5th term of the geometric sequence −3, −9, −27, −81, …
4.Find the 21th term of the arithmetic sequence 3, 4, 5, 6, …
5.Find the 7th term of the geometric sequence −3, −12, −48, −192, …
6.Find the sum of the first 7 terms of the geometric sequence −1, 2, −4, 8, …
7.Find the sum of the first 26 terms of the arithmetic sequence 14, 23, 32, 41, …
8.Find the sum of the first 6 terms of the geometric sequence 5, 15, 45, 135, …
9.Find the 12th term of the arithmetic sequence 13, 21, 29, 37, …
10.For the geometric sequence 2, 10, 50, 250, …, write the common ratio and the rule for the nth term. (answer space)
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 12 sequences & series resources

  • Worksheet

    Year 12 Arithmetic and Geometric Sequences Worksheet — Level 1

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 12 Arithmetic and Geometric Sequences Worksheet — Level 3

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

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included

Sequences & Series in other year levels

Was this resource helpful?

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

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.