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Find terms of an arithmetic sequence

Year 11 maths · Fieldbook Learning

Name ______________________ Date __________

Each term is the one before plus the common difference.

  1. Find the common difference of the sequence −10, −15, −20, −25, …
  2. Find the common difference of the sequence −8, −3, 2, 7, …
  3. Find the common difference of the sequence 7, 9, 11, 13, …
  4. Find the common difference of the sequence 3, 12, 21, 30, …
  5. An arithmetic sequence has a first term of −7 and a common difference of 7. Find the 5th term.
  6. An arithmetic sequence has a first term of −2 and a common difference of 5. Find the 5th term.
  7. An arithmetic sequence has a first term of −4 and a common difference of −1. Find the 5th term.
  8. An arithmetic sequence has a first term of 9 and a common difference of 4. Find the 7th term.
  9. An arithmetic sequence has a first term of −12 and a common difference of −6. Find the 13th term.
  10. An arithmetic sequence has a first term of 10 and a common difference of 6. Find the 15th term.
  11. An arithmetic sequence has a first term of −13 and a common difference of 5. Find the 27th term.
  12. An arithmetic sequence has a first term of 12 and a common difference of 9. Find the 28th term.
  13. In the arithmetic sequence −13, −5, 3, …, which term number is 27?
  14. In the arithmetic sequence 15, 10, 5, …, which term number is −70?
  15. In the arithmetic sequence −7, −1, 5, …, which term number is 95?
  16. In the arithmetic sequence 14, 15, 16, …, which term number is 24?
  17. In the arithmetic sequence −7, −10, −13, …, which term number is −19?
  18. In the arithmetic sequence 4, 1, −2, …, which term number is −11?
  19. In the arithmetic sequence 2, 12, 22, …, which term number is 102?
  20. In the arithmetic sequence −8, −21, −34, …, which term number is −177?
More free practice: fieldbooklearning.com/au/practice/year-11/arithmetic-sequences/

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Answer key: Find terms of an arithmetic sequence

  1. -5
  2. 5
  3. 2
  4. 9
  5. 21
  6. 18
  7. -8
  8. 33
  9. -84
  10. 94
  11. 117
  12. 255
  13. 6
  14. 18
  15. 18
  16. 11
  17. 5
  18. 6
  19. 11
  20. 14