Home / iGCSE Mathematics (0580) : C2.7 Continue a given number sequence. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C2.7 Continue a given number sequence. iGCSE Style Questions Paper 1

Question

(a) 7, 13, 19, 25, …

Find the next term in this sequence.

(b) 30, 26, 22, 18, …

Write down the term to term rule for this sequence.

(c) -1, 1, 3, 5, …

Find the nth term for this sequence.

▶️ Answer/Explanation
Solution

Ans:

(a) 31 (adding 6 each time: 25 + 6 = 31)

(b) Subtract 4 (each term is 4 less than the previous one)

(c) 2n – 3 (starts at -1 and increases by 2 each time)

Question

These are the first four terms in a sequence.

-3         4         11         18

(a) Find the next term.

(b) Explain how you worked out your answer.

▶️ Answer/Explanation
Solution

Ans: (a) 25 (b) Added 7

(a) Looking at the differences between terms: 4 – (-3) = 7, 11 – 4 = 7, 18 – 11 = 7

So the next term is 18 + 7 = 25

(b) The pattern is adding 7 each time.

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