SEQUENCES AND
nth TERM
Name: _______________________
Total Marks: ___________
Q.
1
2
3
4
5
6
7
8
9
10
11
12
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Max Actual RAG
4
5
4
3
2
3
2
2
3
3
3
5
©JustMaths 2013
Q1 Here are the first seven terms in a number sequence.
3
6
5
8
7
10
9
a) Write down the next two terms in this number sequence.
Here are the first five terms in a different number sequence.
5
9
13
17
21
b) Find the 10th term in this number sequence.
c) Write an expression, in terms of n, for the nth term of this number
sequence.
(4 Marks)
Q2. Here are the first five terms of an arithmetic sequence.
−2
a)
1
4
7
10
i) Write down the next two terms of this sequence.
ii) Explain how you found your answer.
b) Find the 12th term of this sequence.
c) Write down, in terms of n, an expression for the nth term of this
sequence.
(5 Marks)
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©JustMaths 2013
Q3. Here are the first five terms of an arithmetic sequence.
2
6
10
14
18
a) Find, in terms of n, an expression for the nth term of this sequence.
An expression for the nth term of another sequence is 10 − n2
b) Find the third term of this sequence.
c) Find the fifth term of this sequence.
(4 Marks)
Q4. a) The nth term of a sequence is n2 + 3.Write down the first three
terms of the sequence.
b) Write down the nth term of the sequence 8, 15, 22, 29, 36, ...
(3 Marks)
Q5. The nth term of a sequence is n2 – 3. Write down the first three terms of
this sequence.
(3 Marks)
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©JustMaths 2013
Q6. The nth term of a number sequence is given by 3n + 1
a) Work out the first two terms of the number sequence.
Here are the first four terms of another number sequence.
1
5
9
13
b) Find, in terms of n, an expression for the nth term of this number
sequence.
(3 Marks)
Q7. Write down the nth term of the sequence 6, 10, 14, 18, 22, ...
(2 Marks)
Q8. The nth term of a sequence is n 2 – 6. Write down the first three terms
of the sequence.
(2 Marks)
Q9. Here are the first 5 terms of an arithmetic sequence.
2
9
16
23
30
a) Write down the 12th term of this sequence.
b) Find, in terms of n, an expression for the nth term of this sequence.
(3 Marks)
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©JustMaths 2013
Q10. Here are the first five terms of an arithmetic sequence.
−2
1
4
7
10
a) Find the 12th term of this sequence.
b) Write down, in terms of n, an expression for the nth term of this
sequence.
(3 Marks)
Q11. The nth term of a sequence is 2n2
a) Find the 4th term of the sequence.
.b)
Is the number 400 a term of the sequence? Give reasons for your
answer.
(3 Marks)
Q12. A sequence starts 2
7
17
_____
a) The rule for finding the next term in this sequence is to multiply the
previous term by 2 then add on 3.
Work out the next term
b) The rule for finding the next term in a different sequence is to multiple
the previous term by 2 and then add on a, where a is an integer. The
first term is 8 and the fourth term is 127. Work out the value of a.
(5 Marks)
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©JustMaths 2013

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