Math 9 · Unit 9: Sequences and functions · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. Copy and complete the workings to find the first four terms of the sequence with nth term 3n.

   Fill the blanks with these.

   • 8
   • 9
   • 15
   • 10
   • 6
   • 12
   Check

2. 2. Copy and complete the workings to find the first four terms of the sequence with nth term 1/4 n.

   Fill the blanks with these.

   • 5
   • 3
   • 1
   • 4
   • 16
   • 2
   Check

3. 3. Copy and complete the workings to find the first four terms of the sequence with nth term n².

   Fill the blanks with these.

   • 12
   • 9
   • 4
   • 6
   • 8
   • 16
   Check

4. 4. Copy and complete the workings to find the first four terms of the sequence with nth term n³.

   Fill the blanks with these.

   • 6
   • 27
   • 8
   • 64
   • 16
   • 9
   Check

5. 5. Copy and complete the workings to find the first three terms and the 10th term of the sequence with nth term 6n + 1.

   Fill the blanks with these.

   • 19
   • 18
   • 12
   • 70
   • 13
   • 61
   Check

6. 6. Copy and complete the workings to find the first three terms and the 10th term of the sequence with nth term n² − 1.

   Fill the blanks with these.

   • 99
   • 100
   • 8
   • 3
   • 4
   • 9
   Check

7. 7. Copy and complete the workings to find the first three terms and the 10th term of the sequence with nth term 1/2 n.

   Fill the blanks with these.

   • 2
   • 5
   • 20
   • 6
   • 10
   • 4
   • 3
   • 1
   Check

8. 8. Copy and complete the workings to find the first three terms and the 10th term of the sequence with nth term n/2.

   Fill the blanks with these.

   • 3
   • 5
   • 6
   • 20
   • 10
   • 4
   • 1
   • 2
   Check

9. 9. In Question 2 you found the terms of the sequences 1/2 n (part c) and n/2 (part d). What do you notice about your answers to parts c and d?

   • They are the same.
   • Part d's terms are twice part c's.
   • Part d's terms are half of part c's.
   • Part d's terms are 2 more than part c's.
   Check

10. 10. Copy and complete these statements. The first one has been done for you.

    Fill the blanks with these.

    • 5
    • n
    • 4
    • 2
    • 15
    • 1
    • 3
    Check

11. 11. Match each nth term rule to its 8th term.

    • 2n + 1
    • n² − 40
    • 1/4 n + 10
    • 3n − 10
    • n/8 + 12

    • 24
    • 13
    • 17
    • 12
    • 14
    Check

12. 12. The nth term is 8n + 7. What are the first three terms and the 10th term?

    • 8, 16, 24 and 80
    • 15, 23, 31 and 157
    • 15, 22, 29 and 87
    • 15, 23, 31 and 87
    Check

13. 13. The nth term is 7n − 8. What are the first three terms and the 10th term?

    • 1, 6, 13 and 62
    • −1, 5, 11 and 62
    • 7, 14, 21 and 70
    • −1, 6, 13 and 62
    Check

14. 14. The nth term is 1/2 n − 4. What are the first three terms and the 10th term?

    • −3 1/2, −3, −2 1/2 and 1
    • 3 1/2, 3, 2 1/2 and 1
    • −3 1/2, −3, −2 1/2 and 6
    • −2, −1, 0 and 6
    Check

15. 15. The nth term is n/10. What are the first three terms and the 10th term?

    • 0.1, 0.2, 0.3 and 10
    • 1/10, 1/5, 3/10 and 1
    • 1/10, 1/20, 1/30 and 1/100
    • 10, 20, 30 and 100
    Check

16. 16. The nth term is n² + 20. What are the first three terms and the 10th term?

    • 40, 80, 120 and 400
    • 21, 24, 29 and 220
    • 21, 24, 29 and 120
    • 21, 22, 23 and 30
    Check

17. 17. Match each sequence to its nth term.

    • 1, 8, 27, 64, …
    • 1/3, 2/3, 1, 4/3, …
    • 3, 6, 11, 18, …
    • 2, 3, 4, 5, …

    • n/3
    • n³
    • n² + 2
    • n + 1
    Check

18. 18. Card A: the 11th term of n² − 33. Card B: the 120th term of 2/3 n + 7. Which card has the smaller value?

    • Card A, 121
    • They are equal.
    • Card B, 87
    • Card A, 88
    Check

19. 19. Is 3, 10, 17, 24, 31, 38, … linear, quadratic or neither?

    • neither
    • linear
    • It can't be decided.
    • quadratic
    Check

20. 20. Is 4, 6, 10, 16, 24, 34, … linear, quadratic or neither?

    • It can't be decided.
    • linear
    • neither
    • quadratic
    Check