Browse Sequences

45 questions at your level

DifficultyAllLevel 1Level 2Level 3Level 4Level 5

The nth term of a linear sequence

16 questions

LessonNot started
Here are the first four terms of an arithmetic sequence:

5811145 \qquad 8 \qquad 11 \qquad 14

(a) Find an expression, in terms of nn, for the nnth term.

(b) Work out the 2020th term.
●●●●●Level 23 marksStart
Find the nnth term of the sequence 4,  7,  10,  13,  …\quad 4, \; 7, \; 10, \; 13, \; \ldots
●●●●●Level 22 marksStart
The nnth term of a sequence is 3n+23n + 2

(a) Is 8989 a term of this sequence? You must show how you decide. (2 marks)

(b) Write down the first three terms of the sequence with nnth term n2−1n^2 - 1 (1 mark)
●●●●●Level 23 marksStart
Here are the first five terms of an arithmetic sequence.

7111519237 \qquad 11 \qquad 15 \qquad 19 \qquad 23
(a) Find an expression, in terms of nn, for the nnth term of this sequence. (2 marks)
(b) Explain why 200200 is not a term of this sequence. (1 mark)
●●●●●Level 23 marksStart

Geometric, Fibonacci and other special sequences

18 questions

LessonNot started
Here are the first four terms of a sequence:

51020405 \qquad 10 \qquad 20 \qquad 40

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

(b) Write down the next two terms.
●●●●●Level 22 marksStart
The nnth term of a sequence is 3n+23n + 2

(a) Is 8989 a term of this sequence? You must show how you decide. (2 marks)

(b) Write down the first three terms of the sequence with nnth term n2−1n^2 - 1 (1 mark)
●●●●●Level 23 marksStart
Here are the first four terms of a geometric sequence.

3612243 \qquad 6 \qquad 12 \qquad 24

(a) Find an expression, in terms of nn, for the nnth term. [2]

(b) Work out the 1010th term. [1]
●●●●●Level 23 marksStart