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Find terms of a geometric sequence

Grade 11 math · Fieldbook Learning

Name ______________________ Date __________

Each term is the one before times the common ratio.

  1. Find the common ratio of the sequence −3, −9, −27, −81, …
  2. Find the common ratio of the sequence 3, 6, 12, 24, …
  3. Find the common ratio of the sequence −1, −2, −4, −8, …
  4. Find the common ratio of the sequence 3, −6, 12, −24, …
  5. A geometric sequence has a first term of −5 and a common ratio of 2. Find the 4th term.
  6. A geometric sequence has a first term of −2 and a common ratio of 3. Find the 4th term.
  7. A geometric sequence has a first term of −6 and a common ratio of −2. Find the 5th term.
  8. A geometric sequence has a first term of −3 and a common ratio of 3. Find the 5th term.
  9. A geometric sequence has a first term of 4 and a common ratio of 3. Find the 6th term.
  10. A geometric sequence has a first term of 3 and a common ratio of 5. Find the 6th term.
  11. A geometric sequence has a first term of 4 and a common ratio of 2. Find the 4th term.
  12. A geometric sequence has a first term of 5 and a common ratio of 5. Find the 5th term.
  13. Find the common ratio of the sequence 16, 40, 100, 250, … Write a fraction in lowest terms.
  14. Find the common ratio of the sequence 48, −24, 12, −6, … Write a fraction in lowest terms.
  15. Find the common ratio of the sequence 54, 18, 6, 2, … Write a fraction in lowest terms.
  16. Find the common ratio of the sequence 162, 54, 18, 6, … Write a fraction in lowest terms.
  17. Find the sum of the first 6 terms of the geometric sequence 3, −6, 12, …
  18. Find the sum of the first 6 terms of the geometric sequence −3, 6, −12, …
  19. Find the sum of the first 5 terms of the geometric sequence 4, 8, 16, …
  20. Find the sum of the first 6 terms of the geometric sequence −2, 4, −8, …
More free practice: fieldbooklearning.com/ca/practice/grade-11/geometric-sequences/

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Answer key: Find terms of a geometric sequence

  1. 3
  2. 2
  3. 2
  4. -2
  5. -40
  6. -54
  7. -96
  8. -243
  9. 972
  10. 9375
  11. 32
  12. 3125
  13. 5/2
  14. -1/2
  15. 1/3
  16. 1/3
  17. -63
  18. 63
  19. 124
  20. 42