T2.5.2 Arithmetic and geometric sequences Quiz: KS3 Maths, Unit 2

The 20 questions

1. What is the common difference of the arithmetic sequence 5, 8, 11, 14, …?

   • 3
   • 5
   • 8
   • 2

2. What is the common ratio of the geometric sequence 2, 6, 18, 54, …?

   • 2
   • 6
   • 4
   • 3

3. What is the nth term of the sequence 7, 10, 13, 16, …?

   • n + 6
   • 3n + 4
   • 7n
   • 3n + 7

4. Which of these is a geometric sequence?

   • 1, 2, 3, 4
   • 1, 3, 6, 10
   • 1, 2, 4, 8
   • 2, 4, 6, 8

5. An arithmetic sequence has first term 4 and common difference 6. What is its 10th term?

   • 64
   • 58
   • 60
   • 54

6. A geometric sequence has first term 5 and common ratio 2. What is its 4th term?

   • 30
   • 40
   • 80
   • 20

7. Which sequence has a constant difference between its terms?

   • 3, 6, 12, 24
   • 3, 7, 11, 15
   • 1, 4, 9, 16
   • 2, 3, 5, 8

8. What is the common ratio of the sequence 80, 40, 20, 10, …?

   • 1/2
   • 10
   • 1/4
   • 2

9. An arithmetic sequence has nth term 5n - 3. What is its 20th term?

   • 100
   • 103
   • 97
   • 95

10. Which term of the sequence 2, 9, 16, 23, … is equal to 135?

    • The 18th term
    • The 21st term
    • The 19th term
    • The 20th term

11. Which number is in the sequence 4, 9, 14, 19, …?

    • 32
    • 34
    • 41
    • 37

12. What is the 5th term of the geometric sequence 2, 6, 18, …?

    • 486
    • 54
    • 108
    • 162

13. How is the nth term of an arithmetic sequence found from the first term and common difference?

    • (n - 1) × first term + common difference
    • First term + n × common difference
    • First term × (n - 1) × common difference
    • First term + (n - 1) × common difference

14. What is the 6th term of the geometric sequence 1, 3, 9, 27, …?

    • 81
    • 162
    • 729
    • 243

15. What is the 4th term of the geometric sequence with first term 1 and common ratio 10?

    • 400
    • 100
    • 1000
    • 10000

16. Which sequence is geometric?

    • 5, 10, 15, 20
    • 5, 10, 20, 30
    • 5, 10, 20, 40
    • 5, 11, 17, 23

17. An arithmetic sequence has 3rd term 11 and common difference 4. What is its first term?

    • 4
    • -1
    • 3
    • 7

18. A geometric sequence has 2nd term 6 and common ratio 2. What is its first term?

    • 3
    • 4
    • 1
    • 12

19. Which of these numbers is a term of the geometric sequence 3, 6, 12, 24, …?

    • 90
    • 100
    • 50
    • 96

20. Matchsticks: 1 square uses 4 matches, 2 squares use 7, 3 squares use 10, and so on. How many matches for 10 squares?

    • 34
    • 40
    • 30
    • 31

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