CAIE IGCSE Mathematics Core C2.7 Sequences Topic Practice

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Covered syllabus points

C2.7.1 Continue a given number sequence or pattern.C2.7.2 Recognise patterns in sequences, including the term-to-term rule, andC2.7.3 Find and use the nth term of the following sequences: (a) linear (b)

Question 1

[Maximum number: 6]

These are the first four terms of a sequence.

-6, 1, 8, 15

Question (a)

(a)

Write down the next term.

[ 1 ]

Question (b)

(b)

Write down the term-to-term rule.

[ 1 ]

Question (c)

(c)

Find the nth term.

[ 2 ]

Question (d)

(d)

Is 688 a term in this sequence?

Explain how you decide. because

[ 2 ]

Question 2

[Maximum number: 2]

These are the first four terms of a sequence.

951−3\begin{array}{llll} 9 & 5 & 1 & -3 \end{array}

Question (a)

(a)

Find the next term.

[ 1 ]

Question (b)

(b)

Explain how you worked out your answer.

[ 1 ]

Question 3

[Maximum number: 4]

Question (a)

(a)

7,13,19,25,…\quad 7, \quad 13, \quad 19, \quad 25, \quad \ldots
Find the next term in this sequence.

[ 1 ]

Question (b)

(b)

30,26,22,18,…\quad 30, \quad 26, \quad 22, \quad 18, \quad \ldots

Write down the term to term rule for this sequence.

[ 1 ]

Question (c)

(c)

−1,1,3,5,…\quad-1, \quad 1, \quad 3, \quad 5, \quad \ldots

Find the nth term for this sequence.

[ 2 ]

Question 4

[Maximum number: 1]

These are the first four terms of a sequence.

-6, 1, 8, 15

Write down the next term.

Question 5

[Maximum number: 1]

These are the first four terms of a sequence.

-6, 1, 8, 15

Write down the term-to-term rule.

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