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
Here are the first four terms of a sequence.
4 11 18 25
Write down an expression for the nth term.
Answer/Explanation
Ans:
7n − 3 oe
Question
(a) 2, 3, 6, 11, 18, . . .
(i) Write down the next two terms in this sequence.
Answer/Explanation
Ans: 27, 38
(ii) Describe, in words, the rule for continuing this sequence.
Answer/Explanation
Ans: Add the next odd number oe
(b) The nth term of a different sequence is 4n – 3.
Work out the first three terms in this sequence.
Answer/Explanation
Ans: 1, 5, 9
Question
Find the nth term of each sequence.
(a) 7, 13, 19, 25, 31, …
(b) 9, 16, 25, 36, 49, …
Answer/Explanation
Ans:
(a) 6n + 1 oe final answer
(b) \((n + 2)^2\) final answer