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20 questions and an answer page, sized for A4.

Sum to infinity

Year 11 · Patterns & Algebra · 20 questions

Name
Date
  1. 1.
    Find the sum to infinity of 28 + 285 + 2825 + …
  2. 2.
    Find the sum to infinity of 27 + 274 + 2716 + …
  3. 3.
    Find the sum to infinity of 8 + 85 + 825 + …
  4. 4.
    Find the sum to infinity of 11 + 223 + 449 + …
  5. 5.
    Find the sum to infinity of 24 + 245 + 2425 + …
  6. 6.
    A geometric series has common ratio r = 32. Does it have a finite sum to infinity?
    a)Yesb)No
  7. 7.
    A geometric series has common ratio r = 12. Does it have a finite sum to infinity?
    a)Yesb)No
  8. 8.
    Find the sum to infinity of 3 + 94 + 2716 + …
  9. 9.
    Find the sum to infinity of 15 + -152 + 154 + …
  10. 10.
    A geometric series has common ratio r = 1. Does it have a finite sum to infinity?
    a)Yesb)No
  11. 11.
    A geometric series has common ratio r = -34. Does it have a finite sum to infinity?
    a)Yesb)No
  12. 12.
    Find the sum to infinity of 12 + 9 + 274 + …
  13. 13.
    Find the sum to infinity of 40 + -403 + 409 + …
  14. 14.
    A geometric series has common ratio r = 1.1. Does it have a finite sum to infinity?
    a)Yesb)No
  15. 15.
    Find the sum to infinity of 6 + 92 + 278 + …
  16. 16.
    Find the sum to infinity of 4 + 3 + 94 + …
  17. 17.
    A geometric series has common ratio r = 0.9. Does it have a finite sum to infinity?
    a)Yesb)No
  18. 18.
    Find the sum to infinity of 8 + 4 + 2 + …
  19. 19.
    Find the sum to infinity of 7 + 72 + 74 + …
  20. 20.
    Find the sum to infinity of 5 + 103 + 209 + …

Free maths worksheets and practice: rocketdigits.com/learn/sum-to-infinity

Answers: Sum to infinity

  1. 35
  2. 36
  3. 10
  4. 33
  5. 30
  6. b) No
  7. a) Yes
  8. 12
  9. 10
  10. b) No
  11. a) Yes
  12. 48
  13. 30
  14. b) No
  15. 24
  16. 16
  17. a) Yes
  18. 16
  19. 14
  20. 15

Free maths worksheets and practice: rocketdigits.com/learn/sum-to-infinity

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