Worksheets · Algebra 2

Geometric sequences worksheet

Each term is the one before times a fixed ratio, so the terms grow or shrink fast. The exponent is again one less than the term number.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Geometric Sequences

Date Period

Answer each question.

  1. Find the 9th term: 6,12,24,48,
  2. Find the 7th term: 7,21,63,189,
  3. Which term of 6,12,24,48, is 384?
  4. Which term of 6,12,24,48, is 1536?
  5. Find the 8th term: 8,24,72,216,
  6. Which term of 6,18,54,162, is 4374?
  7. Find the 7th term: 8,16,32,64,
  8. Find the 7th term: 6,18,54,162,
  9. Which term of 9,27,81,243, is 59049?
  10. Find the 8th term: 9,18,36,72,
  11. Find the 9th term: 8,24,72,216,
  12. Which term of 7,14,28,56, is 896?
  13. Which term of 9,18,36,72, is 576?
  14. Which term of 8,16,32,64, is 256?
  15. Which term of 8,16,32,64, is 1024?
  16. Which term of 7,21,63,189, is 45927?
  17. Which term of 9,18,36,72, is 2304?
  18. Find the 6th term: 9,27,81,243,
  19. Find the 9th term: 7,21,63,189,
  20. Find the 6th term: 6,12,24,48,

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Geometric SequencesAnswer keyVersion 1

Date Period

Answer each question.

  1. Find the 9th term: 6,12,24,48,1536
  2. Find the 7th term: 7,21,63,189,5103
  3. Which term of 6,12,24,48, is 384?7
  4. Which term of 6,12,24,48, is 1536?9
  5. Find the 8th term: 8,24,72,216,17496
  6. Which term of 6,18,54,162, is 4374?7
  7. Find the 7th term: 8,16,32,64,512
  8. Find the 7th term: 6,18,54,162,4374
  9. Which term of 9,27,81,243, is 59049?9
  10. Find the 8th term: 9,18,36,72,1152
  11. Find the 9th term: 8,24,72,216,52488
  12. Which term of 7,14,28,56, is 896?8
  13. Which term of 9,18,36,72, is 576?7
  14. Which term of 8,16,32,64, is 256?6
  15. Which term of 8,16,32,64, is 1024?8
  16. Which term of 7,21,63,189, is 45927?9
  17. Which term of 9,18,36,72, is 2304?9
  18. Find the 6th term: 9,27,81,243,2187
  19. Find the 9th term: 7,21,63,189,45927
  20. Find the 6th term: 6,12,24,48,192

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the 6th term: 5,10,20,40,

  1. Each term doubles, so the ratio is 2.
  2. The 6th term is 5 times 2 to the fifth.

The answer is 160.

Where students go wrong

Using the term number as the exponent. The sixth term uses 2 to the fifth, not the sixth, for the same reason arithmetic sequences take one step fewer than you expect.

Also called common ratio or nth term of a geometric sequence.

Questions about these worksheets

Yes. Every geometric sequences sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the geometric sequences questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Using the term number as the exponent. The sixth term uses 2 to the fifth, not the sixth, for the same reason arithmetic sequences take one step fewer than you expect.