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Mathematics for IGCSE & O level - Sequences (Section 3)

1
If the first term of a sequence is 10 and the term-to-term rule is 'subtract 3', what is the fifth term?
Answer
(B)
0
2
Which sequence is a quadratic sequence?
Answer
(B)
1, 4, 9, 16, ...
3
If the sequence is generated by the formula Tn= n2+1, what will be the 10th term?
Answer
(D)
101
4
What type of sequence is defined by a common *ratio*?
Answer
(B)
Geometric
5
If the nth term is 2n - 1, what is the 4th term?
Answer
(C)
7
6
Which of the following are the first three terms of the sequence defined by \(a_n= 2n - 1\)?
Answer
A
B
C
7
The nth term of a sequence is given by 3n - 2. What is the value of the 5th term?
Answer
(B)
13
8
Which of the following are the first three terms of the sequence defined by \(a_n = 3n + 1\)?
Answer
B
C
D
9
What is the formula for the nth term of the sequence: 1, 3, 6, 10, ...?
Answer
(C)
n(n+1)/2
10
For the sequence 4, 11, 18, 25... What is the value of a10?
Answer
(A)
63
11
Which of the following sequences represents a Fibonacci Sequence?
Answer
(C)
0, 1, 1, 2, 3, 5, ...
12
What is the next term in the sequence: 3, 6, 12, 24, ...?
Answer
(D)
50
13
Which sequence is arithmetic?
Answer
(C)
5, 10, 15, 20,...
14
Given the sequence 2, 5, 8, 11, ..., what is the 10th term?
Answer
(C)
32
15
What are the first three terms of the sequence defined by the formula n2 + 3n?
Answer
A
B
C
16
What is the next term in the sequence: 1, 5, 12, 22,...?
Answer
(A)
35
17
What is the difference between terms in the sequence: 1/3, 2/3, 1, 4/3, ...?
Answer
(B)
1/3
18
Given the sequence: 4, 1, -2, -5, ... what is the nth term?
Answer
(A)
-3n + 7
19
Which of the following have a common *ratio*?
Answer
(A)
2, 4, 8, 16, ...
20
Find the next number in the sequence: 61, 54, 49, 42, ...?
Answer
(C)
37
21
What is the common difference of the sequence 1/2, 1, 3/2, 2,...?
Answer
(B)
1/2
22
If the first term of a sequence is 9 and the rule is subtract 2, what is the 4th term?
Answer
(C)
5
23
Which of the following sequences has a constant *second* difference?
Answer
B
C
24
Which of these sequence is *not* a geometric sequence?
Answer
(C)
1, 3, 5, 7, ...
25
Which of these statements about sequences are correct?
Answer
A
C
26
The first term of a sequence is 3, and the term-to-term rule is 'add 5'. What is the fourth term?
Answer
(B)
18
27
What is the next term in the sequence: -3, 0, 5, 12, ...?
Answer
(B)
20
28
If the nth term of a sequence is given by 2n + 1, what is the third term?
Answer
(C)
7
29
Which rule creates the sequence 3, 7, 11, 15,...?
Answer
(B)
add 4
30
What is the next term in the sequence 4, 11, 20, 31, ...?
Answer
(D)
46
31
The first three terms of a sequence are 5, 10, 15. What is the next term?
Answer
(D)
25
32
Which of the following sequences is *not* an arithmetic sequence?
Answer
(C)
2, 4, 8, 16, ...
33
Given the sequence: 3, 8, 15, 24, ... what is the next term?
Answer
(D)
36
34
Which of these sequences has a constant second difference?
Answer
A
D
35
What is the general term of the sequence 2, 9, 16, 23, ...?
Answer
(A)
7n - 5
36
What is the common difference in the arithmetic sequence: 100, 95, 90, 85, ...?
Answer
(B)
-5
37
If the nth term is 5n+1, what are the first three terms?
Answer
B
C
D
38
What are the first three terms of the sequence defined by an = n2 - 2?
Answer
A
B
C
39
What is the missing number in the sequence: 1, 8, 27, __, 125, ...?
Answer
(C)
64
40
What is the next number in the sequence: 1, 4, 9, 16,...?
Answer
(C)
25
41
What kind of sequence is formed by following the rule 'add 7'?
Answer
(A)
Arithmetic
42
The sequence is: 1, 8, 15, 22, 29, ... What is the term-to-term rule?
Answer
(B)
Add 7
43
Which describes the sequence 6, 11, 16, 21,...?
Answer
(A)
Add 5
44
The first three terms of a sequence are 8, 15, 22. What is the formula for the nth term?
Answer
(A)
7n + 1
45
Given a sequence with the first term 3 and a common difference of 4, what will be the formula for the nth term?
Answer
(A)
4n-1
46
Which of these sequences is a geometric sequence?
Answer
(B)
3, 6, 12, 24, ...
47
Which of the following sequence(s) are arithmetic?
Answer
A
C
48
Which of the following sequence is a geometric sequence?
Answer
(C)
4, 8, 16, 32, ...
49
What is the common difference in the arithmetic sequence 9, 13, 17, 21, ...?
Answer
(B)
4
50
Given that the nth term of a sequence is 3n+2, what is the 5th term?
Answer
(B)
17