CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions2. Algebra & Graphs2.11 Sequences

Syllabus Edition

First teaching 2021

Last exams 2024

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2.11 Sequences

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1
Sme Calculator1 mark

Here is a sequence of numbers.

7,   5,   3,   1,   – 1, …

Find the next term in this sequence.

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2
Sme Calculator1 mark

These are the first five terms in a sequence.
 

8 space space space space space 11 space space space space space 14 space space space space space 17 space space space space space 20


Find the next term.

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3
Sme Calculator2 marks

Write the next term in each of these sequences.

i)
1    1    2    3    5    8

[1]

ii)
2    4    8    16    32    64

[1]

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4
Sme Calculator2 marks

Write an expression for thespace nth term of the sequence below.

15    12    9    6

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5
Sme Calculator4 marks

This expression can be used to generate a sequence of numbers.

n squared space minus space n plus 11

i)
Work out the first three terms of this sequence.

[2]

ii)
Show that this expression does not only generate prime numbers.

[2]

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6
Sme Calculator2 marks

The n th term of a number sequence is n squared space plus space 1

Write down the first three terms of the sequence.

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1
Sme Calculator2 marks

Find the nth term of the sequence below.

1 comma space space space space 5 comma space space space space 25 comma space space space space 125 comma space space space space 625 comma space space space space...

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2
Sme Calculator1 mark

These are the first five terms of a sequence.

 1 half   3 over 4   7 over 6   13 over 8   21 over 10 

Find the next term.

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3
Sme Calculator2 marks

Find the nth term of the sequence below.

3 comma space space space space space 6 comma space space space space space 12 comma space space space space space 24 comma space space space space space...

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4a
Sme Calculator4 marks

The nth term of a sequence is given by a n squared space plus space b n where a and b are integers.

The 2nd term of the sequence is —2
The 4th term of the sequence is 12

Find the 6th term of the sequence.

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4b
Sme Calculator2 marks

Here are the first five terms of a different quadratic sequence.

0   2   6   12   20

Find an expression, in terms of n, for the nth term of this sequence.

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5a
Sme Calculator1 mark

Find the nth term of each sequence.

4,   8,   12,   16,   20,   .........

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5b
Sme Calculator2 marks

11,   20,   35,   56,   83,   ..........

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1a
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The nth term of a sequence is 60 minus 8 n.

Find the largest number in this sequence.

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1b
Sme Calculator2 marks

Here are the first five terms of a different sequence.


12          19          26          33          40


Find an expression for the nth term of this sequence.


[2]

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2
Sme Calculator2 marks

Here is a sequence of numbers.

7,   5,   3,   1,   – 1, …

Find an expression for the nth term of this sequence.

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3
Sme Calculator1 mark

Find the nth term of the sequence below.

1 half comma space space space 1 fourth comma space space space 1 over 6 comma space space space space 1 over 8 comma space space space space 1 over 10 comma space space space space...

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4
Sme Calculator3 marks

These are the first four terms of a sequence.

5 8 11 14

i)
Write down the next term.
 
[1]
ii)
Find an expression, in terms of n, for the nth term.
 
[2]

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5
Sme Calculator2 marks

These are the first five terms in a sequence.
 

8 space space space space space 11 space space space space space 14 space space space space space 17 space space space space space 20


Find an expression for the nth term.

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6
Sme Calculator2 marks

These are the first five terms of a sequence.

negative 4 space space space space space space space space space space space 2 space space space space space space space space space space 8 space space space space space space space space space space space 14 space space space space space space space space space space space 20

 
Find an expression for the nth term of this sequence.

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7
Sme Calculator2 marks

Here is a sequence.

a comma space space space space space space space 13 comma space space space space space space space space 9 comma space space space space space space space space 3 comma space space space space space space minus 5 comma space space space space space space minus 15 comma space space space space space space space space b comma space space space space space space... space

Find the value of a and the value of b.

a equals........................................... 
b equals........................................... 

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8
Sme Calculator2 marks

Find an expression for the nth term of the sequence below.

11 comma space space space space space 7 comma space space space space space 3 comma space space space space minus 1 comma space space space space space...

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