Math 7 · Unit 9: Sequences and functions · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Copy and complete the table to find out the nth term rule for the sequence 2, 4, 6, 8, 10, □

   Fill the blanks with these.

   • 2
   • 4
   • 3
   Check

2. 2. Copy and complete the table to find out the nth term rule for the sequence 3, 6, 9, 12, 15, □

   Fill the blanks with these.

   • 9
   • 3
   • 6
   Check

3. 3. Copy and complete the table to find out the nth term rule for the sequence 4, 8, 12, 16, 20, □

   Fill the blanks with these.

   • 2
   • 4
   • 8
   Check

4. 4. Copy and complete the table to find out the nth term rule for the sequence 2, 3, 4, 5, 6, □

   Fill the blanks with these.

   • 3
   • 1
   • 2
   Check

5. 5. Copy and complete the table to find out the nth term rule for the sequence 3, 4, 5, 6, 7, □

   Fill the blanks with these.

   • 3
   • 2
   • 1
   Check

6. 6. Copy and complete the table to find out the nth term rule for the sequence 7, 8, 9, 10, 11, □

   Fill the blanks with these.

   • 1
   • 7
   • 6
   Check

7. 7. Copy and complete the workings to find the first four terms of the sequence with nth term = 5n.

   Fill the blanks with these.

   • 8
   • 15
   • 20
   • 25
   Check

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

   Fill the blanks with these.

   • 5
   • 7
   • 9
   • 6
   • 8
   Check

9. 9. Work out the 10th term of the sequence with nth term = 4n. When n = 10, 4 × 10 = □

   • 14
   • 400
   • 40
   • 4
   Check

10. 10. Work out the 10th term of the sequence with nth term = 8n. When n = 10, 8 × 10 = □

    • 800
    • 8
    • 18
    • 80
    Check

11. 11. Work out the 10th term of the sequence with nth term = n + 4. When n = 10, 10 + 4 = □

    • 14
    • 40
    • 6
    • 10
    Check

12. 12. Work out the 10th term of the sequence with nth term = n + 8. When n = 10, 10 + 8 = □

    • 18
    • 10
    • 2
    • 80
    Check

13. 13. Work out the nth term rule for the sequence 9, 18, 27, 36, 45, □

    • nth term = 9n
    • nth term = 8n
    • nth term = n + 18
    • nth term = n + 9
    Check

14. 14. Work out the nth term rule for the sequence 10, 20, 30, 40, 50, □

    • nth term = n + 10
    • nth term = 9n
    • nth term = n + 20
    • nth term = 10n
    Check

15. 15. Work out the nth term rule for the sequence 12, 24, 36, 48, 60, □

    • nth term = n + 24
    • nth term = n + 12
    • nth term = 11n
    • nth term = 12n
    Check

16. 16. Work out the nth term rule for the sequence 30, 60, 90, 120, 150, □

    • nth term = 30n
    • nth term = n + 60
    • nth term = n + 30
    • nth term = 29n
    Check

17. 17. The sequences in Question 5 have the rules (a) nth term = 9n, (b) 10n, (c) 12n, (d) 30n. Work out the 10th term and the 20th term of each.

    • 10th: 99, 110, 132, 330. 20th: 189, 210, 252, 630
    • 10th: 19, 20, 22, 40. 20th: 29, 30, 32, 50
    • 10th: 900, 1000, 1200, 3000. 20th: 1800, 2000, 2400, 6000
    • 10th: 90, 100, 120, 300. 20th: 180, 200, 240, 600
    Check

18. 18. Work out the nth term rule for the sequence 8, 9, 10, 11, 12, □

    • nth term = n + 8
    • nth term = n + 6
    • nth term = 8n
    • nth term = n + 7
    Check

19. 19. Work out the nth term rule for the sequence 11, 12, 13, 14, 15, □

    • nth term = 11n
    • nth term = n + 10
    • nth term = n + 11
    • nth term = n + 9
    Check

20. 20. Work out the nth term rule for the sequence 14, 15, 16, 17, 18, □

    • nth term = 14n
    • nth term = n + 12
    • nth term = n + 13
    • nth term = n + 14
    Check