CAIE IGCSE Mathematics Extended E2.7.1 Continue Sequences Questions

Practise Extended CAIE IGCSE Mathematics by identifying common differences or ratios and extending each sequence accurately, including subscripted terms.

Exam points

Continue arithmetic or geometric number sequences by identifying the common difference or ratio and applying it to the next terms, using subscript notation when given.

[Maximum number: 4]

(a)

Find the nth term of each sequence.

[ 4 ]

(i)

$6, \quad 13, \quad 32, \quad 69, \quad 130, \quad \ldots$

[ 2 ]

$n^{3}+5$ oe final answer

2

B1 for any cubic
or common third differences of 6
(at least 2)
or for correct answer seen and spoilt

(ii)

$100, \quad 50, \quad 25, \quad 12.5, \quad 6.25, \quad \ldots$

[ 2 ]

$100\times2^{1-n}$ oe final answer
B1 for $2^{-n+k}$ oe or $(\frac12)^{n+k}$ oe in answer, or for correct answer seen and spoilt

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CAIE IGCSE Mathematics Extended E2.7.1 Continue Sequences Questions question 1

Question (a)

Question (i)

Question (ii)