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Free 12th Grade Sequences & Series Worksheets

4 free sequences & series resources for 12th Grade: 4 worksheets. Answers included.

Arithmetic and geometric sequences, nth terms and sums of series. In 12th Grade, Calculus, probability distributions and financial math feature in advanced courses; English demands polished essays under time pressure.

Students will practice: finding terms and sums of geometric sequences, and the number of terms needed to reach a target; finding limiting sums and writing recurring decimals as fractions; using a geometric series to find the future value of regular deposits and loan repayments; modeling growth situations such as salaries and bouncing balls with geometric series; identifying arithmetic and geometric sequences; finding the nth term; summing arithmetic and geometric series.

Recommended learning path

  1. 1Geometric Series in Action: Finance, Growth and Limiting Sums
  2. 212th Grade Arithmetic and Geometric Sequences Worksheet — Level 1
  3. 312th Grade Arithmetic and Geometric Sequences Worksheet — Level 2
  4. 412th Grade Arithmetic and Geometric Sequences Worksheet — Level 3
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Geometric Series in Action: Finance, Growth and Limiting Sums

    A senior math worksheet applying geometric series: nth terms and sums, how many terms are needed to pass a target, limiting sums and…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    12th Grade 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

    12th Grade 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…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade 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

All sequences & series worksheets, every grade →

Common questions

What do 12th Grade students learn about sequences & series?

Arithmetic and geometric sequences, nth terms and sums of series. At 12th Grade, our resources focus on: finding terms and sums of geometric sequences, and the number of terms needed to reach a target; finding limiting sums and writing recurring decimals as fractions; using a geometric series to find the future value of regular deposits and loan repayments; modeling growth situations such as salaries and bouncing balls with geometric series.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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