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Extra practice for 12th Grade Arithmetic and Geometric Sequences Worksheet — Level 3: the same skill with fresh questions.

Worksheet12th GradeLevel 3 · Challenge

Free 12th Grade Arithmetic and Geometric Sequences Worksheet — Level 3 — Practice Set 3

Practice Set 3 for 12th Grade 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 4 — same skill, fresh questions, full answers.

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

Grade
12th Grade
Subject
Math
Topic
Sequences & Series
Difficulty
Level 3 · Challenge
Estimated time
20 minutes
Curriculum
Texas grade levels (TEKS)
Questions
10
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practice

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

Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: 12th Grade Arithmetic and Geometric Sequences Worksheet — Level 3 — Practice Set 3

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?

12th Grade 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 12th Grade mathematics resources.

Preview

Success TutoringWorksheets12th Grade · Mathematics · Sequences & Series

12th Grade Arithmetic and Geometric Sequences Worksheet — Level 3 — Practice Set 3

Name

Date

Score /

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

1.Find the 7th term of the geometric sequence 3, −6, 12, −24, …
2.Find the sum of the first 9 terms of the geometric sequence −1, −4, −16, −64, …
3.Find the 20th term of the arithmetic sequence −5, −8, −11, −14, …
4.For the geometric sequence −3, −9, −27, −81, …, write the common ratio and the rule for the nth term. (answer space)
5.Find the sum of the first 8 terms of the arithmetic sequence −1, 2, 5, 8, …
6.Find the 13th term of the arithmetic sequence 12, 13, 14, 15, …
7.Find the sum of the first 6 terms of the geometric sequence −3, 6, −12, 24, …
8.Find the sum of the first 15 terms of the arithmetic sequence 17, 15, 13, 11, …
9.Find the 9th term of the geometric sequence −1, 2, −4, 8, …
10.Find the sum of the first 8 terms of the geometric sequence 5, 20, 80, 320, …
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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. Expected-level practice for this…

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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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    Time
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    Questions
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    Answers
    Answers included

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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