$Arithmetic and geometric sequences: stretch: math worksheet for Grade 12, page 1 preview$

Math worksheet · Mathematics

Arithmetic and geometric sequences: stretch · Grade 12

Find terms of arithmetic and geometric sequences. 16 problems at a stretch level for Grade 12, with an answer key for grown-ups.

Grade 12 · ages 17 to 18
Hard
25 to 35 minutes
2 pages
Free

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

Make another one like this

The 16 problems on the sheet

Directions: Find the term asked for.

1. 3, 4, 5, … term 18:
2. −4, −7, −10, … term 10:
3. 12, 10, 8, … term 26:
4. 2, 4, 8, … term 7:
5. 3, 6, 12, … term 4:
6. 15, 19, 23, … term 15:
7. 3, 11, 19, … term 18:
8. −4, 2, 8, … term 17:
9. 1, 3, 9, … term 4:
10. 4, 12, 36, … term 7:
11. 3, 6, 12, … term 7:
12. 15, 10, 5, … term 18:
13. 4, 8, 16, … term 4:
14. 18, 13, 8, … term 15:
15. 0, −5, −10, … term 6:
16. 4, 8, 16, … term 6:

What your child practices

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

Grades and ages: Grade 12, ages 17 to 18
Time: About 25 to 35 minutes
Subject: Mathematics
Level: Hard for Grade 12
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 one of the harder sheets for Grade 12, best once the basics of the skill are secure. 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.