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Decide if a sequence is arithmetic, geometric or neither

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.LE.A.1, HSF.BF.A.2 · England: GCSE Foundation Algebra, GCSE Higher Algebra

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  1. Question 1

    What type of sequence does aₙ = 5n + 6 produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  2. Question 2

    Is 1, 4, 9, 16, 25, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  3. Question 3

    What type of sequence does aₙ = 3n − 4 produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  4. Question 4

    Is 2, 3, 5, 8, 12, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  5. Question 5

    What type of sequence does aₙ = 7n produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  6. Question 6

    Is 2, 6, 18, 54, 162, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  7. Question 7

    What type of sequence does aₙ = 6n + 2 produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  8. Question 8

    Is 2, 3, 5, 8, 12, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  9. Question 9

    What type of sequence does aₙ = 7n − 4 produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  10. Question 10

    Is 1, 1, 2, 3, 5, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  11. Question 11

    What type of sequence does aₙ = 2n produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  12. Question 12

    Is 1, 1, 2, 3, 5, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  13. Question 13

    What type of sequence does aₙ = 6 × 5ⁿ produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  14. Question 14

    Is 1, 1, 2, 3, 5, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  15. Question 15

    What type of sequence does aₙ = 4n + 6 produce?

    • A. Arithmetic
    • B. Geometric
    • C. Neither
  16. Question 16

    Is 1, 4, 9, 16, 25, … arithmetic, geometric or neither?

    • A. Arithmetic
    • B. Geometric
    • C. Neither

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Answer key: Decide if a sequence is arithmetic, geometric or neither

  1. 1. A. Arithmetic

  2. 2. C. Neither

  3. 3. A. Arithmetic

  4. 4. C. Neither

  5. 5. A. Arithmetic

  6. 6. B. Geometric

  7. 7. A. Arithmetic

  8. 8. C. Neither

  9. 9. A. Arithmetic

  10. 10. C. Neither

  11. 11. A. Arithmetic

  12. 12. C. Neither

  13. 13. B. Geometric

  14. 14. C. Neither

  15. 15. A. Arithmetic

  16. 16. C. Neither