AQA · Mathematics · 8300

GCSE Maths: Sequences: missing terms

Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Sequences: missing terms (Corbettmaths Video 287), 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.

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  1. What is the next term in the arithmetic sequence 3, 5, 7, 9, ...?

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    11. The sequence increases by 2 each time.

  2. What is the next term in the geometric sequence 5, 10, 20, 40, ...?

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    80. The sequence doubles (multiplies by 2) each time.

  3. What is the missing term in the arithmetic sequence 4, □, 8, 10, ...?

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    6. The sequence increases by 2 each time.

  4. In the sequence 9, 15, 21, 27, ..., what is the 101st term if the 100th term is 302?

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    308. Add the common difference of 6 to the 100th term.

  5. In the sequence 9, 15, 21, 27, ..., what is the 99th term if the 100th term is 302?

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    296. Subtract the common difference of 6 from the 100th term.

  6. A sequence has first term 3 and the rule 'multiply by 4 then subtract 5'. What is the second term?

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    7. Calculate: 3 × 4 − 5 = 12 − 5 = 7.

  7. A sequence has second term 26 and the rule 'add 7 then multiply by 2'. What is the first term?

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    6. Working backwards: 26 ÷ 2 = 13, then 13 − 7 = 6.

  8. An arithmetic sequence has first term 7 and fifth term 13. What is the fourth term?

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    11.5. The common difference is 1.5, so the fourth term is 13 − 1.5 = 11.5.

  9. In an arithmetic sequence, the difference between consecutive terms is called the ?.

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    common difference

  10. What is the next term in the sequence 64, 32, 16, 8, ...?

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    4. The sequence halves (divides by 2) each time.

  11. What is the next term in the algebraic sequence 5a − b, 9a − 2b, 13a − 3b, ...?

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    17a − 4b. The coefficient of a increases by 4 and the coefficient of b increases by 1 each time.

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