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Sum an infinite geometric series

Grade 12 math · 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/ca/practice/grade-12/sum-of-an-infinite-geometric-series/

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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