CAIE IGCSE Mathematics Core C2.7 Sequences Question Bank

Practise continuing sequences, spotting term-to-term rules, and forming nth-term expressions from listed terms and simple patterns.

Syllabus
2028–2030
Topic
C2.7
Level
Core

Exam points

  • continue number sequences by applying the common difference or visible pattern
  • form nth-term expressions for linear and simple quadratic sequences

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)

C2.7 Sequences question 1

[Maximum number: 8]

Question (a)

(a)

These are the first four terms of a sequence.

8152229\begin{array}{llll} 8 & 15 & 22 & 29 \end{array}
[ 4 ]

Question (i)

(i)

Write down the next term.

[ 1 ]

Question (ii)

(ii)

Write down the term to term rule for continuing this sequence.

[ 1 ]

Question (iii)

(iii)

Find an expression for the nth term.

[ 2 ]

Question (b)

(b)

Find the next term in each of these sequences.

[ 2 ]

Question (i)

(i)

18, 21, 26, 33, 42, …\ldots

[ 1 ]

Question (ii)

(ii)

18,20,24,32,48,…\quad 18, \quad 20, \quad 24, \quad 32, \quad 48, \quad \ldots

[ 1 ]

Question (c)

(c)

Find the first three terms of the sequence with nth term n2+5nn^{2}+5 n.

[ 2 ]
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