1 Here are the first five terms of a sequence.
2 4 7 11 16
Write down the next two terms in the sequence.
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(Total for Question 1 is 2 marks)
2 The first term in a sequence is 3.
The term to term rule is add 5.
Is 97 a term in the sequence?
Give a reason for your answer.
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(Total for Question 2 is 2 mark)
3 Here are the first five terms of a Fibonacci sequence
1 2 3 5 8
Write down the next two terms in the sequence.
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(Total for Question 3 is 2 marks)
4 The nth term of a sequence is 4n + 3
(a) Find the first two terms of this sequence.
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(b) Is 35 a term in this sequence.
You must show how you get your answer.
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(Total for Question 4 is 2 marks)
5 The nth term of a sequence is n2 + 1
(a) Find the first two terms of this sequence.
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(1)
(b) Is 35 a term in this sequence.
You must show how you get your answer.
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(1)
(Total for Question 5 is 2 marks)
6 Here are the first 5 terms of a sequence.
17 14 11 8 5
(a) Find the next term of this sequence.
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The nth term of a different sequence is 10n² + 5 (1)
(b) Work out the 5th term of this sequence.
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(1)
(Total for Question 6 is 2 marks)
7 Here are the first four terms of a sequence.
7 13 19 25
(a) Write down the next term in the sequence.
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(1)
(b) Explain how you got your answer
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(1)
(Total for Question 7 is 2 marks)
8 Here are the first four terms of a number sequence.
2 3 5 9
The rule to continue the sequence is
multiply the previous term by 2 and then subtract 1
Work out the 5th term of this sequence.
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(Total for Question 8 is 1 mark)
9 Here are the first 5 terms of a Fibonacci sequence.
2 2 4 6 10
Find the 8th term of this sequence.
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(Total for Question 9 is 2 marks)
10 The nth term of a sequence is n² + 3
(a) Find the first three terms of this sequence.
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(2)
(b) Find the 10th term in this sequence.
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(1)
(Total for Question 10 is 3 marks)
11 Here is a sequence of patterns made from white tiles and grey tiles.
pattern number 1 pattern number 2 pattern number 3
(a) In the space below, draw pattern number 4.
(1)
(b) Work out the total number of tiles to make pattern number 7.
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(2)
Kyle says
“There are 4 white tiles in pattern number 3 so there will be 8 white tiles in pattern number 6.”
(c) Is Kyle right?
You must give a reason for your answer.
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(1)
(Total for Question 11 is 4 marks)
12 Here is a sequence of patterns made from grey counters.
pattern number 1 pattern number 2 pattern number 3
(a) In the space below, draw pattern number 4.
(1)
(b) Work out the total number of counters to make pattern number 10.
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(2)
(Total for Question 12 is 3 marks)
13 Here are the first five terms of a sequence.
31 27 23 19 15
(a) Find the first negative term in the sequence.
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(b) Is –30 a term in this sequence? (2)
Give a reason for your answer.
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(1)
(Total for Question 13 is 3 marks)
14 Here are the first 5 terms of an arithmetic sequence.
-3 1 5 9 13
(a) Find an expression, in terms of n, for the nth term of this sequence.
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(2)
The nth term of a different arithmetic sequence is 2n – 3
(b) Is 101 a term in this sequence?
Show how you get your answer.
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(2)
(Total for Question 14 is 4 marks)
15 Here are the first 5 terms of a sequence.
9 14 19 24 29
Find an expression, in terms of n, for the nth term of this sequence.
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(Total for Question 15 is 2 marks)
16 Here are the first 5 terms of a sequence.
25 22 19 16 13
Find an expression, in terms of n, for the nth term of this sequence.
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(Total for Question 16 is 2 marks)
