A25 The nth term of linear sequences Quiz: AQA Maths, Unit 2

The 20 questions

1. What is the nth term of the sequence 3, 7, 11, 15?

   • 4n - 1
   • 3n + 4
   • 4n + 1
   • 3n - 1

2. What is the nth term of the sequence 5, 8, 11, 14?

   • 3n + 5
   • 5n + 3
   • 3n + 2
   • 2n + 3

3. What is the nth term of the sequence 10, 7, 4, 1?

   • -3n + 7
   • -3n + 10
   • -3n + 13
   • 3n + 13

4. Is 52 a term of the sequence with nth term 5n - 1?

   • No, because 52 is not a multiple of 5
   • Yes, because 52 is in the sequence of multiples of 4
   • Yes, because 52 is a multiple of 5
   • No, because 5n = 53 has no whole number solution

5. Which term of the sequence 2, 5, 8, 11 is equal to 62?

   • 21st
   • 20th
   • 19th
   • 22nd

6. What is the 10th term of the sequence with nth term 7n - 2?

   • 63
   • 68
   • 72
   • 75

7. The nth term of a sequence is 4n + 9. What is the common difference?

   • 1
   • 13
   • 4
   • 9

8. A sequence has nth term 6 - 2n. What is the first term?

   • 4
   • 6
   • -2
   • 2

9. A sequence has first term 3 and common difference 6. What is the nth term?

   • 6n - 3
   • 3n - 6
   • 3n + 6
   • 6n + 3

10. Squares are joined in a row, giving 4, 7, 10 matches for 1, 2, 3 squares. What is the nth term?

    • 3n + 4
    • 4n
    • n + 3
    • 3n + 1

11. What is the nth term of the sequence 1/2, 1, 3/2, 2?

    • n/2
    • 2n
    • n + 1/2
    • 1/n

12. Which sequence has nth term -n + 5?

    • 5, 10, 15, 20
    • 4, 2, 0, -2
    • 4, 3, 2, 1
    • 1, 2, 3, 4

13. A linear sequence has 2nd term 9 and 3rd term 13. What is its nth term?

    • 4n + 5
    • n + 8
    • 9n - 5
    • 4n + 1

14. The nth term of a sequence is 2n + 3. Is 40 a term of it?

    • Yes, because substituting 40 gives 2 x 40 + 3 = 83
    • Yes, because n = 18.5 rounds to a whole number term
    • No, because 2n = 37 has no whole number solution
    • No, because 40 is even and every term of 2n + 3 is even

15. What is the 20th term of the sequence with nth term 5n - 7?

    • 87
    • 100
    • 97
    • 93

16. The sequence 100, 95, 90 has nth term 105 - 5n. Which term is 50?

    • The 12th term
    • The 11th term
    • The 9th term
    • The 10th term

17. What is the nth term of the sequence 0, 3, 6, 9?

    • n + 2
    • 3n
    • 3n - 3
    • 3n + 3

18. A sequence has nth term -3n + 15. What is the 4th term?

    • 6
    • 9
    • -3
    • 3

19. (H) Which nth term fits the quadratic sequence 2, 5, 10, 17?

    • n^2 + n
    • 3n - 1
    • n^2 + 1
    • 2n + 1

20. (H) A linear sequence has T(2) = 7 and T(5) = 16. What is its nth term?

    • 3n + 4
    • 3n + 1
    • n + 6
    • 7n + 2

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