CAIE IGCSE Mathematics Extended E2.7.1 Continue Sequences Questions

Continue number sequences by checking how consecutive terms change, preserving signs and treating the numerator and denominator separately in fraction patterns.

Exam points

Continue an arithmetic sequence with a negative common difference.
Continue a fraction sequence by updating its numerator and denominator separately.

[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)