AQA · Mathematics · 8300

GCSE Maths: Sequences: describing rules

Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Sequences: describing rules (Corbettmaths Video 286), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

12 flashcards · Free to study · No account needed

Study this deck

Preparing your cards…

All questions and answers

Read through the full deck, or practise recalling each answer above.

  1. What is the rule for the sequence 3, 5, 7, 9, ...?

    Show answer

    Add 2 each time (or increase by 2).

  2. What is the rule for the sequence 5, 10, 20, 40, ...?

    Show answer

    Multiply by 2 each time (or double).

  3. What is the rule for the sequence 1, 10, 100, 1000, ...?

    Show answer

    Multiply by 10 each time.

  4. What is the rule for the sequence 64, 32, 16, 8, ...?

    Show answer

    Divide by 2 each time (or halve).

  5. In the sequence 2, 3, 5, 8, ..., what is the rule?

    Show answer

    Add the previous difference plus 1 each time (differences are 1, 2, 3, ...).

  6. If a sequence increases by the same amount each time and has terms 4, ?, 8, 10, what is the missing term?

    Show answer

    6. The common difference is 2.

  7. Given the sequence 9, 15, 21, 27, ... with common difference 6, what is the next term?

    Show answer

    33.

  8. If the 100th term of the sequence 5, 8, 11, 14, ... is 302, what is the 101st term?

    Show answer

    305. Add the common difference of 3.

  9. What is the second term if the first term is 3 and the rule is 'multiply by 4 then subtract 5'?

    Show answer

    7. (3 × 4 − 5 = 12 − 5 = 7)

  10. If the second term of a sequence is 26 and the rule is 'add 7 then multiply by 2', what is the first term?

    Show answer

    6. Working backwards: (26 ÷ 2 − 7 = 13 − 7 = 6)

  11. What type of sequence has a constant difference between consecutive terms?

    Show answer

    An arithmetic sequence (or linear sequence).

  12. If a sequence increases by the same amount each time with first term 7 and fifth term 13, what is the common difference?

    Show answer

    1.5. The difference is (13 − 7) ÷ 4 = 6 ÷ 4 = 1.5.

Want to create your own cards? Create a free account. AI generation uses credits.