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Linear Sequences Worksheet

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Linear Sequences Worksheet worksheet preview

Linear Sequences Worksheet

Mathematical sequence illustration

📚 Part 1: Recognising Linear Sequences

1. Which of these is a linear sequence?

2, 4, 8, 16, 32...

5, 10, 15, 20, 25...

1, 4, 9, 16, 25...

3, 6, 12, 24, 48...

2. What is the constant difference in this sequence: 7, 12, 17, 22, 27...?

+3

+5

+7

+12

3. Which sequence decreases by 6 each time?

60, 54, 48, 42, 36...

50, 44, 38, 32, 26...

72, 66, 60, 54, 48...

All of the above

4. Find the constant difference for: 85, 78, 71, 64, 57...

The constant difference is: _______

✏️ Part 2: Continuing Sequences

5. Continue this sequence by finding the next three terms:

3, 8, 13, 18, 23, _____, _____, _____

6. Complete this decreasing sequence:

95, 87, 79, 71, _____, _____, _____

7. Find the missing terms in this sequence:

4, _____, 16, _____, 28, 34, _____

8. Write the term-to-term rule for this sequence:

Sequence: 12, 19, 26, 33, 40...

9. Predict the 10th term of this sequence:

Starting sequence: 6, 11, 16, 21, 26...

Show your working:

The 10th term is: _______

🎯 Part 3: Challenge Questions

10. Create your own linear sequence that starts at 15 and has a constant difference of -4. Write the first 6 terms:

_____, _____, _____, _____, _____, _____

11. A linear sequence has its 3rd term as 20 and its 5th term as 32. What is the constant difference?

Constant difference: _______

12. Explain in your own words what makes a sequence "linear":

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