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Sum a finite geometric series

11th grade (Year 12 in England) · 16 questions · Common Core: HSA.SSE.B.4 · England: A-level Pure Mathematics

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Date

Score/ 16

  1. Question 1

    Arjun saves $5 in week 1 and doubles the amount saved each week. How much has Arjun saved in total after 9 weeks? Give the amount as a number.

    Answer

  2. Question 2

    Find the sum of the first 4 terms of 1 + 3 + 9 + …

    Answer

  3. Question 3

    Find the sum of the first 4 terms of 48 + 24 + 12 + …

    Answer

  4. Question 4

    Liam saves $1 in week 1 and doubles the amount saved each week. How much has Liam saved in total after 8 weeks? Give the amount as a number.

    Answer

  5. Question 5

    Find the sum of the first 7 terms of 6 + 12 + 24 + …

    Answer

  6. Question 6

    Find the sum of the first 5 terms of 96 + 48 + 24 + …

    Answer

  7. Question 7

    Mateo saves $5 in week 1 and doubles the amount saved each week. How much has Mateo saved in total after 9 weeks? Give the amount as a number.

    Answer

  8. Question 8

    Find the sum of the first 4 terms of 2 + 6 + 18 + …

    Answer

  9. Question 9

    Find the sum of the first 7 terms of 128 + 64 + 32 + …

    Answer

  10. Question 10

    Jamal saves $5 in week 1 and doubles the amount saved each week. How much has Jamal saved in total after 8 weeks? Give the amount as a number.

    Answer

  11. Question 11

    Find the sum of the first 5 terms of 6 − 12 + 24 + …

    Answer

  12. Question 12

    Find the sum of the first 7 terms of 256 + 128 + 64 + …

    Answer

  13. Question 13

    Ines saves $1 in week 1 and doubles the amount saved each week. How much has Ines saved in total after 9 weeks? Give the amount as a number.

    Answer

  14. Question 14

    Find the sum of the first 4 terms of 6 − 12 + 24 + …

    Answer

  15. Question 15

    Find the sum of the first 4 terms of 16 + 8 + 4 + …

    Answer

  16. Question 16

    Yuki saves $2 in week 1 and doubles the amount saved each week. How much has Yuki saved in total after 7 weeks? Give the amount as a number.

    Answer

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Answer key: Sum a finite geometric series

  1. 1. 2555

  2. 2. 40

  3. 3. 90

  4. 4. 255

  5. 5. 762

  6. 6. 186

  7. 7. 2555

  8. 8. 80

  9. 9. 254

  10. 10. 1275

  11. 11. 66

  12. 12. 508

  13. 13. 511

  14. 14. -30

  15. 15. 30

  16. 16. 254