iGCSE Mathematics (0580) : C2.8 Recognize patterns in sequences including the term to term rule and relationships between different sequences. iGCSE Style Questions Paper 1

Question

(a) Here are the fi rst four terms of a sequence.
27      23      19      15
(i) Write down the next term in the sequence.
(ii) Explain how you worked out your answer to part (a)(i).
(b) The nth term of a different sequence is 4n – 2 .
Write down the fi rst three terms of this sequence.

(c) Here are the fi rst four terms of another sequence.
–1       2       5       8
Write down the nth term of this sequence.

Answer/Explanation

Ans:

(a) (i) 11
(ii) subtract 4 oe

(b) 2, 6 , 10 cao

(c) 3n – 4 oe

Question

 These are the first five terms in a sequence.
8   11   14   17   20
(a) Find the next term.
………………………………………….
(b) Find an expression for the nth term.
………………………………………..

Answer/Explanation

(a)23
(b)3n+5

Question

 The nth term of a sequence is 5n – 3.
Write down the first three terms of the sequence.

Answer/Explanation

2 7 12

Question 

These are the first four terms of a sequence.

5       8       11       14

(a) Write down the next term.[1]

(b) Find an expression, in terms of n, for the nth term.[2]

Answer/Explanation

Ans:

16(a) 17

16(b) 3n + 2 oe final answer

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