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Mathematics for IGCSE & O level - Sequences (Section 4)

1
What is the common difference in the arithmetic sequence 10, 5, 0, -5, ...?
Answer
(B)
-5
2
Which one of the following would be the next term in this sequence 4, 9, 16, 25...?
Answer
(D)
37
3
If the pattern is to subtract 5 from the previous term, and the first term is 80, what is the 3rd term?
Answer
(C)
70
4
If a sequence has a formula of an = 2n + 3, what are the first three terms?
Answer
A
B
D
5
What is the formula for the nth term of the sequence: 3, 6, 9, 12, ...?
Answer
(A)
3n
6
What kind of sequence is the sequence created by adding 6 to the previous term?
Answer
(B)
Arithmetic
7
Which of the following sequences is an example of a quadratic sequence?
Answer
(C)
1, 4, 9, 16,...
8
What sequence is formed when adding 3 to the previous number?
Answer
(A)
1, 4, 7, 10,...
9
What is the formula for the nth term of the sequence: 4, 7, 10, 13, ...?
Answer
(B)
3n+1
10
What is the 7th term in the sequence if the nth term is an = 5n - 3?
Answer
(C)
34
11
If the term-to-term rule is 'multiply by 4', and the first term is 2, what is the 3rd term?
Answer
(C)
32
12
If the sequence follows the formula an = n2 - n, which are the first three terms?
Answer
A
B
C
13
What is the next term in the sequence 2, 5, 9, 14,...?
Answer
(B)
20
14
What is the term-to-term rule of the sequence: 100, 97, 94, 91,...?
Answer
(B)
Subtract 3
15
What is the common difference in the arithmetic sequence 20, 17, 14, 11, 8, ...?
Answer
(A)
-3
16
What is the common difference of the arithmetic sequence: 1, 7, 13, 19, ...?
Answer
(C)
7
17
The formula for the nth term of a sequence is n2 + 3. What is the 5th term?
Answer
(C)
28
18
Which sequence(s) is/are an arithmetic sequence?
Answer
A
C
19
What is the next term in the sequence: 1, 8, 27, 64,...?
Answer
(C)
125
20
Given the sequence 1/2, 1, 3/2, 2, ... what is the nth term?
Answer
(B)
(n+1)/2
21
Which term follows the quadratic sequence 5, 11, 19, 29, ...?
Answer
(A)
39
22
What is the 6th term of a sequence if the nth term is given by \(T_n = n^2 - 2n\)?
Answer
(C)
24
23
Which rule describes the following sequence, where the nth term is denoted by Tn: 7, 12, 17, 22,...?
Answer
(A)
Tn = 5n + 2
24
What is the nth term formula of this quadratic sequence: 2, 5, 10, 17, 26, ...?
Answer
(A)
n^2 + 1
25
Which of the following is an example of a geometric sequence?
Answer
(C)
1, 3, 9, 27, ...
26
The first three terms of a sequence are 1, 4, and 9. What is the formula for the nth term?
Answer
(A)
n^2
27
What is the third term of the sequence defined by the formula n^2 + 2n?
Answer
(D)
15
28
Which sequence is an example of an arithmetic sequence?
Answer
(B)
2, 5, 8, 11, ...
29
In the sequence 3, 10, 17, 24, ... what is the formula for the nth term?
Answer
(B)
7n + 3
30
What is the nth term formula for the sequence 5, 9, 13, 17,...?
Answer
(A)
4n
31
What is the next number in the sequence: 3, 5, 7, 9, ...?
Answer
(B)
11
32
What is the common difference in the sequence 3, 8, 13, 18, ...?
Answer
(B)
5
33
If the general term is 2n+3, then what is the value of the 7th term?
Answer
(C)
17
34
The sequence is defined by 2n+5, what is the third term?
Answer
(D)
11
35
The formula for the nth term of a sequence is \(2n^2 + 1\). What is the second term of this sequence?
Answer
(C)
9
36
Which of the following sequence(s) is/are arithmetic?
Answer
A
C
37
If the term to term rule of a sequence is to multiply by 3, what is the third term if the first term is 2?
Answer
(B)
18
38
Which of the following is the term-to-term rule for the sequence: 2, 6, 10, 14, 18, ...?
Answer
(C)
Add 4
39
If the term to term rule is to double, and the first term is 3, what is the 5th term?
Answer
(D)
48
40
Identify the term-to-term rule of the sequence 25, 28, 31, 34, ...
Answer
(B)
Add 3
41
What does the term-to-term rule 'add 2' to the previous number describe?
Answer
(A)
an Arithmetic sequence
42
What is the missing number in the sequence 1, 4, 10, __, 31, 46, ...?
Answer
(B)
20
43
Which of these is a quadratic sequence?
Answer
(C)
1, 4, 9, 16, ...
44
The nth term of a sequence is given by 6n - 4. What is the 10th term?
Answer
(B)
56
45
The sequence has a first term of 1 and the term-to-term rule is 'add 6'. What is the fourth term?
Answer
(A)
19
46
What is the difference between terms in the sequence 1, 5, 9, 13,...?
Answer
(D)
4
47
What is the next term in the sequence 2, 6, 12, 20,...?
Answer
(C)
30
48
If the term-to-term rule is multiply by 2, and the first term is 4, what is the fourth term?
Answer
(C)
32
49
What is the nth term of the sequence: 2, 7, 12, 17, ...?
Answer
(B)
5n + 2
50
What is the formula for the nth term of the sequence: 1/2, 1/4, 1/8, 1/16, ...?
Answer
(C)
1/2^(n-1)