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Celeste International School

Grade 6 · Worksheet

Sequences and functions

Generating sequences (1)

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    The sequence 14, 19, 24, 29, … follows a term-to-term rule. What is the next term?

  2. 2.

    What is the term-to-term rule for 55, 52, 49, 46, …?

    1. Asubtract 3
    2. Bsubtract 4
    3. Cadd 3
  3. 3.

    The first term is 72 and the rule is 'divide by 2'. What is the 4th term?

  4. 4.

    In the sequence 15, 17, 19, ▢, 23, … what is the missing term?

  5. 5.

    Which sequence is FINITE?

    1. A85, 75, 65, 55, 45, 35
    2. B4, 6, 8, 10, …
    3. C100, 97, 94, 91, …
  6. 6.

    Put these terms of the sequence in order, starting with the first.

    Write the order (first to last) in the boxes:

    • ?22
    • ?16
    • ?10
    • ?4
  7. 7.

    The sequence 68, 65, 62, 59, … follows a term-to-term rule. What is the next term?

  8. 8.

    The first term is 7 and the rule is 'multiply by 2'. What is the 4th term?

  9. 9.

    The first term is 5 and the rule is 'multiply by 2 then add 1'. What is the 3rd term?

  10. 10.

    The term-to-term rule for 13, 22, 31, 40, … is 'add 9'.

    True False
  11. 11.

    What is the term-to-term rule for 10, 12, 14, 16, …?

    1. Aadd 3
    2. Bsubtract 2
    3. Cadd 2
  12. 12.

    The first term is 8 and the rule is 'multiply by 2'. What is the 4th term?

  13. 13.

    The first term is 4 and the rule is 'multiply by 2 then add 1'. What is the 3rd term?

  14. 14.

    The sequence 11, 13, 15, 17, … follows a term-to-term rule. What is the next term?

  15. 15.

    What is the term-to-term rule for 4, 7, 10, 13, …?

    1. Aadd 3
    2. Badd 4
    3. Csubtract 3
  16. 16.

    The first term is 80 and the rule is 'divide by 2'. What is the 4th term?

  17. 17.

    The first term is 3 and the rule is 'multiply by 2 then add 1'. What is the 3rd term?

  18. 18.

    The sequence 5, 9, 13, 17, … follows a term-to-term rule. What is the next term?

  19. 19.

    What is the term-to-term rule for 18, 23, 28, 33, …?

    1. Aadd 6
    2. Badd 5
    3. Csubtract 5
  20. 20.

    The first term is 5 and the rule is 'add 2'. What is the 3rd term?

Celeste International School

Answer key

Sequences and functions — Generating sequences (1)

  1. 1.34
  2. 2.A. subtract 3
  3. 3.9
  4. 4.21
  5. 5.A. 85, 75, 65, 55, 45, 35
  6. 6.4, 10, 16, 22
  7. 7.56
  8. 8.56
  9. 9.23
  10. 10.True
  11. 11.C. add 2
  12. 12.64
  13. 13.19
  14. 14.19
  15. 15.A. add 3
  16. 16.10
  17. 17.15
  18. 18.21
  19. 19.B. add 5
  20. 20.9