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Find the ratio and terms of a geometric sequence

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.BF.A.2, HSF.LE.A.2 · England: GCSE Higher Algebra

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  1. Question 1

    Find the 6th term of the geometric sequence 640, 320, 160, …

    Answer

  2. Question 2

    What is the common ratio of the geometric sequence −2, −6, −18, −54, …?

    Answer

  3. Question 3

    Aisha invests $2000. The value is multiplied by 1.05 every year, giving a geometric sequence. What is the value at the start of year 6 (after 5 years)? Round to the nearest whole number.

    Answer

  4. Question 4

    Find the 6th term of the geometric sequence 3, 6, 12, …

    Answer

  5. Question 5

    What is the common ratio of the geometric sequence 7, 14, 28, 56, …?

    Answer

  6. Question 6

    Yuki invests $3000. The value is multiplied by 0.9 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.

    Answer

  7. Question 7

    Find the 6th term of the geometric sequence 3, 6, 12, …

    Answer

  8. Question 8

    What is the common ratio of the geometric sequence −2, −6, −18, −54, …?

    Answer

  9. Question 9

    Sam invests $9000. The value is multiplied by 0.9 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.

    Answer

  10. Question 10

    Find the 5th term of the geometric sequence 5, −10, 20, …

    Answer

  11. Question 11

    What is the common ratio of the geometric sequence 2, 10, 50, 250, …?

    Answer

  12. Question 12

    Omar invests $4000. The value is multiplied by 1.2 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.

    Answer

  13. Question 13

    Find the 7th term of the geometric sequence 2, 6, 18, …

    Answer

  14. Question 14

    What is the common ratio of the geometric sequence 7, 14, 28, 56, …?

    Answer

  15. Question 15

    Kai invests $8000. The value is multiplied by 1.2 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.

    Answer

  16. Question 16

    Find the 6th term of the geometric sequence 640, 320, 160, …

    Answer

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Answer key: Find the ratio and terms of a geometric sequence

  1. 1. 20

  2. 2. 3

  3. 3. 2553

  4. 4. 96

  5. 5. 2

  6. 6. 1968

  7. 7. 96

  8. 8. 3

  9. 9. 5905

  10. 10. 80

  11. 11. 5

  12. 12. 8294

  13. 13. 1458

  14. 14. 2

  15. 15. 16589

  16. 16. 20