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Mathematics for IGCSE & O level - Sequences (Section 1)

1
What is the first term of the sequence defined by the formula 3n+2?
Answer
(C)
5
2
What is the next term in the sequence 8, 15, 22, 29, ...?
Answer
(D)
41
3
What is the common difference in the sequence: 20, 17, 14, 11, ...?
Answer
(A)
-3
4
What is the formula for the nth term of the sequence 10, 13, 16, 19,...?
Answer
(A)
3n + 7
5
Which of the following are methods to find the formula for the nth term of a linear sequence?
Answer
A
C
6
Which of the following statements are correct about finding the nth term of a sequence?
Answer
(D)
All of the above
7
Which of these is the next two terms of this sequence: 3, 7, 11, 15, ...?
Answer
(A)
19, 23
8
What is the term-to-term rule for the sequence 5, 10, 15, 20, ...?
Answer
(B)
+5
9
Which of the following formulas represents a linear sequence?
Answer
(B)
3n - 2
10
Which of the following sequences could be defined by a quadratic formula?
Answer
(B)
1, 3, 6, 10...
11
If the third term of a sequence is 10 and the common difference is 3, what is the first term?
Answer
(D)
7
12
Which term of the sequence 5, 9, 13, 17,... is 41?
Answer
(A)
8th
13
If a sequence has a nth term \(2n + 5\), is the sequence arithmetic or geometric?
Answer
(A)
Arithmetic
14
Which sequence is described by the term-to-term rule of 'subtract 5'?
Answer
(B)
25, 20, 15, 10,...
15
What is the first term of the sequence given by the formula 2n + 5?
Answer
(B)
7
16
The formula for the nth term of a sequence is 2n + 1. What is the 1st term?
Answer
(C)
3
17
What is the next term in the sequence: 4, 10, 16, 22, ...?
Answer
(C)
28
18
What is the value of U6 if Un = 2n^2 - 3n?
Answer
(B)
58
19
If the rule for a sequence is 5n - 3, what is the value of the 5th term?
Answer
(A)
20
20
Which of the following is the formula for the nth term of the sequence 5, 8, 11, 14, ...?
Answer
(A)
3n + 2
21
What is the common ratio in the sequence 3, 9, 27, 81,...?
Answer
(B)
3
22
Which sequence represents a quadratic sequence?
Answer
(B)
1, 4, 9, 16...
23
The sequence 1, 9, 25, 49,... represents which type of sequence?
Answer
(D)
Quadratic
24
Consider the sequence with the general formula \(U_n = n^2 + 3n - 1\). Find \(U_4\).
Answer
(C)
27
25
Which of the following is true about a linear sequence?
Answer
A
B
26
Which of the following describes the sequence: 2, 7, 12, 17...?
Answer
(A)
Arithmetic
27
Which of the following describes the method to find the nth term of a quadratic sequence?
Answer
A
B
C
28
Which of the following are true regarding geometric sequences?
Answer
B
C
29
Identify the sequence whose terms follow the formula 4n-1
Answer
(A)
3, 7, 11, 15
30
Which of the following is the correct formula to find the nth term of an arithmetic sequence?
Answer
(B)
a+(n-1)d
31
For the sequence 1, 4, 7, 10, ... the term-to-term rule is to add 3. Which of these is the formula for the nth term?
Answer
(B)
3n - 2
32
In the formula \(T_n = an + b\) for a linear sequence, what does 'a' represent?
Answer
(B)
The constant difference between terms.
33
What is the term-to-term rule of the following sequence: 1, 2, 4, 8, ...
Answer
(B)
Multiply by 2
34
Find the 5th term of the sequence whose nth term is given by: \(a_n = 4n - 1\).
Answer
(A)
15
35
Which of the following is a characteristic of a geometric sequence?
Answer
(B)
A constant ratio between consecutive terms.
36
In a sequence, the first term is 4 and the term-to-term rule is 'add 3'. What is the 5th term of the sequence?
Answer
(B)
16
37
What is the common ratio of the geometric sequence: 2, 6, 18, 54,...?
Answer
(B)
3
38
What is the next term in the sequence: 2, 9, 16, 23, ...?
Answer
(C)
35
39
What is the formula for the nth term of the sequence: 1, 8, 15, 22, ...?
Answer
(A)
7n-6
40
What is the value of the 7th term in the sequence: 6, 11, 16, 21, ...?
Answer
(B)
36
41
Which of the following is a characteristic of an arithmetic sequence?
Answer
(B)
Constant difference between consecutive terms.
42
If the first three terms of a sequence are 3, 7, and 11, what is the next term?
Answer
(C)
15
43
Which statement is true for geometric sequences?
Answer
(C)
Have a common ratio
44
What are the first three terms of the sequence defined by the rule \(U_n = n^2 - 1\)?
Answer
(A)
0, 3, 8
45
Which formula describes the relationship of the sequence: 3, 6, 9, 12, ...?
Answer
(C)
3n
46
For the sequence 2, 6, 12, 20, 30, find the formula for the nth term.
Answer
(B)
n(n+1)
47
If the nth term of a sequence is 5n + 3, what is the 10th term?
Answer
(C)
58
48
A sequence has a term-to-term rule of +7. If the first term is 12, what is the fourth term?
Answer
(C)
31
49
What is the 4th term of the sequence \(T_n = n^2 + n\)?
Answer
(C)
20
50
What is the value of the 8th term in the sequence 1, 4, 7, 10,...?
Answer
(B)
25