$Arithmetic and geometric sequences: math worksheet for Grade 10, page 1 preview$

Math worksheet · Mathematics

Arithmetic and geometric sequences · Grade 10

Find terms of arithmetic and geometric sequences. 20 problems at a practice level for Grade 10, with an answer key for grown-ups.

Grade 10 · ages 15 to 16
Medium
30 to 40 minutes
2 pages
Free

The answer key is a separate page for grown-ups. Sign in to download it.

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The 20 problems on the sheet

Directions: Find the term asked for.

1. 17, 19, 21, … term 12:
2. 2, −1, −4, … term 9:
3. 3, 6, 12, … term 8:
4. 1, 2, 4, … term 5:
5. 5, 10, 20, … term 4:
6. −5, −11, −17, … term 9:
7. 1, 7, 13, … term 7:
8. 20, 18, 16, … term 8:
9. 2, 6, 18, … term 4:
10. 1, 3, 9, … term 4:
11. 2, 6, 18, … term 6:
12. 5, 15, 45, … term 6:
13. −4, 5, 14, … term 8:
14. 1, 3, 9, … term 7:
15. 20, 17, 14, … term 8:
16. 2, 4, 8, … term 8:
17. −6, −9, −12, … term 14:
18. 9, 12, 15, … term 10:
19. −1, 0, 1, … term 15:
20. 3, 6, 12, … term 9:

What your child practices

Your child practices the math skill “Find function rules”: infer and apply input–output rules.

Grades and ages: Grade 10, ages 15 to 16
Time: About 30 to 40 minutes
Subject: Mathematics
Level: Medium for Grade 10
Answer key: Yes, for grown-ups who sign in
Printing: 2 pages, US Letter or A4, low-ink option
Updated: October 15, 2026

How to use it

Try the first question together so the format is clear. Then let your child work through the rest, showing their thinking on the page. It is pitched at the expected level for Grade 10, for practice after the skill has been taught. Its 2 pages split well across two sittings.

An answer key comes with it as a separate page that grown-ups download after signing in.

Tip for grown-ups: Check the first three problems together before your child carries on alone; most mix-ups show early.

Done on paper? A grown-up can record it on the child's page in PlayOwl; downloading alone doesn't count as finished.