Browse Sequences

45 questions at your level

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

The nth term of a linear sequence

16 questions

LessonNot started

Here are the first four terms of an arithmetic sequence:

7 \qquad 11 \qquad 15 \qquad 19

(a) Find an expression, in terms of

n

n

th term of the sequence.

(b) Work out the 25th term of the sequence.

●●●●●Level 33 marksStart

Here are the first four terms of a sequence:

30 \qquad 26 \qquad 22 \qquad 18

Find an expression, in terms of

n

n

th term of the sequence.

●●●●●Level 32 marksStart

Here are the first four terms of a sequence:

50 \qquad 43 \qquad 36 \qquad 29

(a) Find an expression, in terms of

n

n

th term.

(b) Work out the

10

●●●●●Level 33 marksStart

The nth term of a quadratic sequence

13 questions

LessonNot started

n

th term of a sequence is

n^2 - 3n + 5

Work out the 6th term of the sequence.

●●●●●Level 32 marksStart

n

th term of a sequence is

2n^2 - n

5

th term of the sequence.

●●●●●Level 32 marksStart

Here are the first four terms of a quadratic sequence.

5 \qquad 11 \qquad 21 \qquad 35

Find an expression, in terms of

n

n

th term. (3 marks)

●●●●●Level 33 marksStart

Here are the first five terms of a quadratic sequence.

3 \qquad 8 \qquad 15 \qquad 24 \qquad 35

Find an expression, in terms of

n

n

th term of this sequence. (3 marks)

●●●●●Level 33 marksStart

Here are the first four terms of a quadratic sequence.

4 \qquad 10 \qquad 18 \qquad 28

Find an expression, in terms of

n

n

●●●●●Level 33 marksStart

Geometric, Fibonacci and other special sequences

18 questions

LessonNot started

Here are the first four terms of a sequence:

3 \qquad 6 \qquad 12 \qquad 24

(a) Write down the term-to-term rule of the sequence.

(b) Write down the next two terms of the sequence.

●●●●●Level 32 marksStart

Here are the first five terms of a sequence:

2 \qquad 3 \qquad 5 \qquad 8 \qquad 13

(a) Describe the rule of the sequence.

(b) Write down the next two terms.

●●●●●Level 32 marksStart

Here are the first five terms of a sequence:

1 \qquad 3 \qquad 6 \qquad 10 \qquad 15

(a) What name is given to this sequence of numbers?

(b) Write down the next two terms.

●●●●●Level 32 marksStart