MathsFreePrintable

Sequences Practice Worksheet

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Sequences Practice Worksheet worksheet preview

Sequences Practice Worksheet

Mathematical sequence illustration

📚 Part 1: Identifying Patterns

💡 Tips: Look for what's being added, subtracted, multiplied or divided between each term. Write the pattern in words first, then find the rule.

1. Circle the sequences that follow a clear pattern:

2, 4, 6, 8, 10

1, 5, 3, 9, 2

3, 6, 12, 24, 48

10, 7, 4, 1, -2

2. For each sequence, write the pattern in words:

a) 5, 10, 15, 20, 25 Pattern: _________________________________

b) 50, 45, 40, 35, 30 Pattern: _________________________________

c) 1, 4, 16, 64, 256 Pattern: _________________________________

3. Find the next two terms in each sequence:

a) 7, 14, 21, 28, _____, _____

b) 100, 90, 80, 70, _____, _____

c) 2, 6, 18, 54, _____, _____

d) 1, 1, 2, 3, 5, 8, _____, _____

🔢 Part 2: Finding Terms and Rules

4. For the sequence 4, 9, 14, 19, 24...

a) What is the 6th term? _____

b) What is the 10th term? _____

c) Write the rule in the form: nth term = _____

5. Complete the table for the sequence that starts: 3, 7, 11, 15...
Position (n) 1 2 3 4 5 8 12
Term 3 7 11 15
6. Which rule generates the sequence 5, 8, 11, 14, 17...?

nth term = 3n + 2

nth term = 5n + 3

nth term = 2n + 3

nth term = 3n + 5

🎯 Part 3: Problem Solving

7. A cinema has rows of seats. The first row has 12 seats, the second row has 15 seats, the third row has 18 seats, and so on.

a) How many seats are in the 5th row? _____

b) How many seats are in the 10th row? _____

c) Which row has 30 seats? Show your working:

8. Create your own sequence and challenge:

a) Write a sequence with 5 terms: _____, _____, _____, _____, _____

b) Describe the pattern: _________________________________

c) What would be the 8th term? _____

9. Extension: The nth term of a sequence is given by 2n² + 1

a) Find the first 4 terms: _____, _____, _____, _____

b) Which term has the value 51? Show your working:

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds