Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Australia
Practise online insteadThe answer key prints on page 2.

Sum an infinite geometric series

Year 12 maths · Fieldbook Learning

Name ______________________ Date __________

The sum is the first term divided by one minus the ratio.

  1. An infinite geometric series has a first term of 40 and a common ratio of 1/6. Find its sum.
  2. An infinite geometric series has a first term of 10 and a common ratio of 1/6. Find its sum.
  3. An infinite geometric series has a first term of 20 and a common ratio of 1/6. Find its sum.
  4. An infinite geometric series has a first term of 12 and a common ratio of 1/5. Find its sum.
  5. An infinite geometric series has a first term of 72 and a common ratio of 1/4. Find its sum.
  6. An infinite geometric series has a first term of 60 and a common ratio of 1/4. Find its sum.
  7. An infinite geometric series has a first term of 16 and a common ratio of 1/2. Find its sum.
  8. An infinite geometric series has a first term of 6 and a common ratio of 1/3. Find its sum.
  9. An infinite geometric series has a first term of 36 and a common ratio of 1/3. Find its sum.
  10. An infinite geometric series has a first term of 16 and a common ratio of 1/3. Find its sum.
  11. An infinite geometric series has a first term of 25 and a common ratio of 1/6. Find its sum.
  12. An infinite geometric series has a first term of 18 and a common ratio of 1/4. Find its sum.
  13. An infinite geometric series has a first term of 4 and a common ratio of 1/3. Find its sum.
  14. An infinite geometric series has a first term of 3 and a common ratio of 1/2. Find its sum.
  15. An infinite geometric series has a first term of 210 and a common ratio of 1/6. Find its sum.
  16. An infinite geometric series has a first term of 4 and a common ratio of 1/2. Find its sum.
  17. An infinite geometric series has a first term of 30 and a common ratio of 1/3. Find its sum.
  18. An infinite geometric series has a first term of 28 and a common ratio of 1/5. Find its sum.
  19. An infinite geometric series has a first term of 160 and a common ratio of 1/5. Find its sum.
  20. An infinite geometric series has a first term of 120 and a common ratio of 1/5. Find its sum.
More free practice: fieldbooklearning.com/au/practice/year-12/sum-of-an-infinite-geometric-series/

Play it as a quiz game

20 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.
Download CSV

Answer key: Sum an infinite geometric series

  1. 48
  2. 12
  3. 24
  4. 15
  5. 96
  6. 80
  7. 32
  8. 9
  9. 54
  10. 24
  11. 30
  12. 24
  13. 6
  14. 6
  15. 252
  16. 8
  17. 45
  18. 35
  19. 200
  20. 150