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.