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Extending thinking about sequences

The starter and exit quiz of the lesson “Extending thinking about sequences”, from the unit “Graphical representations” (Year 9 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a __________.
  2. Find the next term in the arithmetic sequence -25, -18, -11, -4,___.
  3. Find the missing term in the arithmetic sequence 27, ___, 55, 69, 83, ...
  4. Find the common ratio of the geometric sequence 0.4, 1.6, 6.4, 25.6, ...
  5. Find the next term in the geometric sequence 0.4, 1.6, 6.4, 25.6, ___, ... Give your answer as a decimal.
  6. Which statements are true of the sequence 1920, 960, 480, 240, 120, ... ?
  7. In mathematics, sequences can be described as concrete or __________.
  8. In 1980, the world marathon record was 2 hrs 10 mins. In the year 2000, it was 2 hrs 5 mins. In the year 2020, it was 2 hrs 0 mins. This is an example of __________ sequence.
  9. In 1980, the world marathon record was 2 hrs 10 mins. In the year 2000, it was 2 hrs 5 mins. In the year 2020, it was 2 hrs 0 mins. Why is this concrete sequence limited?
  10. What value would come before this geometric sequence? 196, 1372, 9604, 67 228, ...
  11. Scientists begin to study the population of a particular fish in the North Sea and find it forms a geometric sequence. Using the sequence to predict the population for year 5.
  12. Scientists begin to study the population of a particular fish in the North Sea and find it forms a geometric sequence. Estimate the population of the fish the year before the study began.

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Extending thinking about sequences · Examplary