A23 generate terms of a sequence from either a term-to-term or a position-to- term rule Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. What does a term-to-term rule in a sequence specify?

   • sum of all terms
   • next term from previous
   • position of maximum
   • nth term directly

2. The sequence 3, 7, 11, ... has term-to-term rule

   • add 3
   • add 7
   • multiply by 4
   • add 4

3. For the position-to-term rule 2n + 1, the first term is

   • 5
   • 1
   • 3
   • 2

4. The sequence 2, 6, 18, ... has term-to-term rule multiply by 3. The fourth term is

   • 36
   • 24
   • 20
   • 54

5. What does a position-to-term rule provide for a sequence?

   • Nth term formula
   • Common difference
   • Sum of terms
   • Previous term

6. The 10th term of 5n - 2 is

   • 5
   • 48
   • 50
   • 10

7. The sequence 20, 17, 14, 11 has term-to-term rule

   • subtract 2
   • divide by 3
   • subtract 3
   • add 3

8. A sequence starts at 1, and each term is double the previous. The third term is

   • 8
   • 4
   • 3
   • 2

9. A sequence starts at 4 and adds 5 each time. The fifth term is

   • 24
   • 29
   • 19
   • 23

10. The nth term of a sequence is 4n - 3. The 6th term is

    • 17
    • 24
    • 21
    • 27

11. The sequence with nth term n(n + 1) has a 5th term of

    • 30
    • 20
    • 36
    • 25

12. A sequence has a_1 = 3 and a_(n+1) = a_n + 2. The value of a_4 is

    • 9
    • 11
    • 8
    • 7

13. The nth term is 3n - 4. Which term equals 26?

    • the 9th term
    • the 10th term
    • the 8th term
    • the 12th term

14. The 7th term of the sequence 1, 4, 9, 16, ... is

    • 42
    • 49
    • 14
    • 64

15. A sequence starts at 5 and each term is -2 times the previous term. The third term is

    • -10
    • -20
    • 20
    • 10

16. The nth term of a sequence is 108 - 8n. The 10th term is

    • 20
    • 32
    • -28
    • 28

17. A sequence 2, 5, 7, 12, ... has each term equal to the sum of the two before. The 5th term is

    • 19
    • 24
    • 21
    • 17

18. The nth term of a sequence is 2^n. The first term that exceeds 100 is

    • the 7th term
    • the 8th term
    • the 5th term
    • the 6th term

19. A sequence has a_1 = 5 and a_(n+1) = 2a_n - 1. The value of a_3 is

    • 15
    • 19
    • 17
    • 9

20. In the sequence 1, 2, 4, 7, 11, ..., the differences increase by 1 each time. The next term is

    • 16
    • 15
    • 14
    • 18

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