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Reasoning about values in an arithmetic sequence

The starter and exit quiz of the lesson “Reasoning about values in an arithmetic sequence”, from the unit “Further sequences” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. In sequences an n^\text{th} term rule is a __________-to-term rule.
  2. Match these sequences to their respective n^\text{th} term rules.
  3. What is the 15^\text{th} term of the sequence 4n-12?
  4. What is the 15^\text{th} term of the sequence 12-4n?
  5. Solve the equation 6n-35=331 n=___
  6. Solve the equation 35-6n=-487 n=___
  7. If 4832 is in the sequence 5n-13 then 5n-13=4832 must have a __________.
  8. What is the n^\text{th} term rule for the sequence -14,-11,-8,-5,-2,1, ...?
  9. Is 406 in the sequence -14,-11,-8,-5,-2,1, ...?
  10. How might you show that 1138 is not in the sequence 7n-19?
  11. What is true of the arithmetic sequence 24, 29, 34, 39, 44, ...?
  12. 707 is the 53^\text{rd} term and 720 the 54^\text{th} term of an arithmetic sequence. Which of these terms are in the same sequence?

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Reasoning about values in an arithmetic sequence · Examplary