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Find the sum of a series

Year 11 maths · Fieldbook Learning

Name ______________________ Date __________

Work out each term and add them.

  1. Find the sum of 2k − 1 for k = 1, 2, 3, …, 9.
  2. Find the sum of −3k + 5 for k = 1, 2, 3, …, 9.
  3. Find the sum of 2k − 6 for k = 1, 2, 3, …, 6.
  4. Find the sum of k − 6 for k = 1, 2, 3, …, 6.
  5. Find the sum of −2k − 6 for k = 1, 2, 3, …, 7.
  6. Find the sum of k² + 6 for k = 1, 2, 3, …, 5.
  7. Find the sum of 2k for k = 1, 2, 3, …, 6.
  8. Find the sum of k² + 6 for k = 1, 2, 3, …, 8.
  9. Find the sum of k + 3 for k = 1, 2, 3, …, 5.
  10. Find the sum of k² − 2 for k = 1, 2, 3, …, 5.
  11. Find the sum of −4k − 2 for k = 1, 2, 3, …, 5.
  12. Find the sum of 4k − 6 for k = 1, 2, 3, …, 8.
  13. Find the sum of k² + 4 for k = 1, 2, 3, …, 9.
  14. Find the sum of 3k + 6 for k = 1, 2, 3, …, 7.
  15. Find the sum of k² + 4 for k = 1, 2, 3, …, 4.
  16. Find the sum of k² + 1 for k = 1, 2, 3, …, 4.
  17. Find the sum of k − 4 for k = 1, 2, 3, …, 5.
  18. Find the sum of k² + 2 for k = 1, 2, 3, …, 6.
  19. Find the sum of −2k − 1 for k = 1, 2, 3, …, 7.
  20. Find the sum of k² − 4 for k = 1, 2, 3, …, 4.
More free practice: fieldbooklearning.com/au/practice/year-11/sigma-notation-sums/

Play it as a quiz game

14 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
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Answer key: Find the sum of a series

  1. 81
  2. -90
  3. 6
  4. -15
  5. -98
  6. 85
  7. 42
  8. 252
  9. 30
  10. 45
  11. -70
  12. 96
  13. 321
  14. 126
  15. 46
  16. 34
  17. -5
  18. 103
  19. -63
  20. 14