2.21 nth terms of linear sequences Quiz: AQA Further Maths, Unit 2

The 20 questions

1. In the nth term 4n + 7, what is the common difference?

   • 1
   • 4
   • 7
   • 11

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

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

3. What is the common difference of the sequence 9, 6, 3, 0, ...?

   • 9
   • 3
   • 0
   • −3

4. What is the 10th term of the sequence 2, 5, 8, 11, ...?

   • 30
   • 29
   • 32
   • 27

5. Which number is in the sequence with nth term 4n + 1?

   • 42
   • 41
   • 44
   • 43

6. What is the general form of the nth term of a linear sequence?

   • a^n + b
   • an + b
   • ab + n
   • an^2 + b

7. The nth term of a sequence is 54 − 4n. Which term has the value −10?

   • 17
   • 16
   • 18
   • 15

8. A linear sequence has u_3 = 7 and u_7 = 19. What is the nth term?

   • 4n − 5
   • 3n − 2
   • 2n + 1
   • 3n + 1

9. The sequence starts 2p + 1, 2p + 4, 2p + 7. What is the nth term?

   • 2pn + 1
   • 3n + 2p + 1
   • 3n − 2p − 2
   • 3n + 2p − 2

10. Which term of the sequence 6, 10, 14, ... is equal to 102?

    • 26
    • 25
    • 24
    • 102

11. A sequence starts at 100 and decreases by 7 each term. What is the nth term?

    • 93 − 7n
    • 100 − 7n
    • 107 − 7n
    • 7n + 93

12. How many terms are in the sequence 4, 7, 10, ..., 61?

    • 19
    • 61
    • 20
    • 21

13. The first two terms of a linear sequence are 5 and 9. What is the nth term?

    • 4n + 5
    • 4n + 1
    • 9n − 4
    • 5n + 4

14. The nth term of a sequence is −2n + 20. What is the first negative term?

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

15. The nth term of a linear sequence is 3n + k. If the first term is 10, what is k?

    • 13
    • 3
    • 7
    • 10

16. A sequence starts at 15 and has a common difference of −4. What is its 6th term?

    • 5
    • −9
    • −7
    • −5

17. At which term do the sequences 3n + 2 and 5n − 8 have the same value?

    • 10
    • 4
    • 3
    • 5

18. A linear sequence has u_5 = 14 and u_9 = 30. What is u_1?

    • −6
    • 2
    • 6
    • −2

19. A linear sequence is 1.5, 2, 2.5, ... What is the 20th term?

    • 11.5
    • 10.5
    • 10
    • 11

20. What is the nth term of the sequence 2/3, 1, 4/3, 5/3, ...?

    • (2n + 1)/3
    • (n + 2)/3
    • n/3
    • (n + 1)/3

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