A25 deduce expressions to calculate the nth term of linear and quadratic sequences Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. The nth term of a linear sequence has the form

   • a/n
   • an + b
   • a^n
   • an^2 + bn + c

2. In the nth term of a linear sequence, what does the coefficient of n equal?

   • Second term
   • Zero
   • Common difference
   • First term

3. What type of difference is constant in a quadratic sequence?

   • Common ratio
   • Second difference
   • First difference
   • Third difference

4. For a quadratic sequence with n^2 coefficient a, the second difference equals

   • a/2
   • 2a
   • a squared
   • a

5. The nth term of 5, 8, 11, 14 is

   • 5n + 3
   • n + 4
   • 3n + 5
   • 3n + 2

6. Linear sequences have constant

   • ratios
   • second differences
   • squares
   • first differences

7. In a quadratic sequence, the n^2 coefficient is half the

   • first difference
   • second difference
   • common ratio
   • first term

8. The differences between consecutive square numbers are

   • odd numbers
   • square numbers
   • triangular numbers
   • even numbers

9. The nth term of 7, 10, 13, 16 is

   • 7n + 3
   • 3n + 4
   • 4n + 3
   • 3n + 7

10. The nth term of 2, 5, 10, 17 is

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

11. The nth term of 4, 10, 18, 28 is

    • n^2 + 4n - 1
    • 2n^2 + 2
    • n^2 + 3n
    • n^2 + 2n + 1

12. The 20th term of the sequence 3n - 2 is

    • 48
    • 62
    • 60
    • 58

13. A linear sequence has first term 6 and common difference -4. The 5th term is

    • -14
    • -6
    • 10
    • -10

14. The 4th term of the sequence 2n^2 + 1 is

    • 17
    • 65
    • 33
    • 31

15. The sequence with nth term n^2 contains 49 at position

    • 49
    • 8
    • 7
    • 6

16. Which term of the sequence 3n + 2 equals 62?

    • the 18th term
    • the 20th term
    • the 21st term
    • the 30th term

17. The first three terms of a quadratic sequence are 5, 12, 23. The nth term is

    • 2n^2 + n + 2
    • n^2 + 4n
    • 2n^2 + 2n + 1
    • 2n^2 + 3n

18. The nth term of the sequence 0, 4, 12, 24 is

    • n^2 - n
    • 4n - 4
    • 2n^2 - 2n
    • 2n^2 + 2n

19. The sequence 2n^2 + 1 has the value 99 at position

    • 9
    • 5
    • 7
    • 6

20. A linear sequence has first term 1 and 10th term 46. Its nth term is

    • 5n + 4
    • 5n - 4
    • 46n - 45
    • 4n + 5

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