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Conditions in arithmetic sequences

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

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Oak National Academy

12 questions

  1. 6n-7 is the __________ of the arithmetic sequence starting -1, 5, 11, 17, 23, ...
  2. What is the n^\text{th} term rule of the sequence 14,22,30,38,46, ...?
  3. What is the n^\text{th} term rule of the sequence 197,191,185,179,173, ...?
  4. What is the 40^\text{th} term of the sequence 9n+51?
  5. What position is 213 in the following arithmetic sequence? 18,23,28,33, ...
  6. Solve the equation 8n-37=495 If necessary leave your answer as a decimal. n=___
  7. 5n-28=100 is __________ we can solve in order to help us find the first term over 100
  8. Using trial and error, which is the best estimate at which to start to find the first value over 1000 in the sequence starting -17,-13,-9,-5,-1, ...?
  9. If you open a savings account with £50 and put £8 a week in to the account every week thereafter without withdrawing anything, after how many weeks will you reach £200?
  10. Which term is the first value below −300 in the arithmetic sequence starting 91, 83, 75, 67, 59, …?
  11. The solution to 2n-19=98 is n=58.5 What does this tell us about this sequence? -17,-15,-13,-11, ...
  12. What is the last positive value in the sequence 380, 365, 350, 335, ...?

License: OGL

Conditions in arithmetic sequences · Examplary