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Math 8 · Unit 9: Sequences and functions · Cambridge Lower Secondary Maths Stage 8

9.1 Generating sequences

15 questions · e.g. Start 3, rule '× 2 then − 1'. What are the next three terms?

Practice

Questions

  1. 1. Start 3, rule '× 2 then − 1'. What are the next three terms?

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  2. 2. Is 1, 4, 9, 16, … linear?

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  3. 3. Next term? 2, 6, 18, 54, ?

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  4. 4. nth term 3n + 2. First three terms?

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  5. 5. Next term? 1, 1, 2, 3, 5, 8, ?

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  6. 6. Next term? 100, 50, 25, ?

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  7. 7. nth term n². 10th term?

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  8. 8. Which is a linear sequence?

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  9. 9. Start 1, rule 'add 1 more each time' (add 1, add 2, add 3…). 5th term?

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  10. 10. nth term 5 − 2n. 4th term?

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  11. 11. Next term? 0.5, 1, 2, 4, ?

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  12. 12. Term-to-term rule of 81, 27, 9, 3?

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  13. 13. Next term? 1, 8, 27, 64, ?

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  14. 14. nth term 2n − 1. Which term is 49?

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  15. 15. Next term? 3, 7, 15, 31, ?

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