 # Practice - Sequences - 07

Hello young mathematicians! Welcome to a fun-filled journey into the fascinating world of sequences. This quiz is designed to test your understanding of the sequences you've learned in your maths lessons. Each question will challenge you to think about sequences in a new way. No need to stress though, remember, you're doing this to learn. So relax, think, solve, and enjoy the ride.
1.
How many terms would a sequence starting from 15 and ending at 45 with a common difference of 5 contain?
5
6
7
8
The sequence would be: 15, 20, 25, 30, 35, 40, 45. So the total of 7 terms.
2.
What is the next number of this sequence: 2, 4, 6, 8 ?
9
10
11
12
This is a simple arithmetic sequence where each number increases by 2. Therefore, after 8, the next number would be 10.
3.
What is the common difference in this sequence: 10, 15, 20, 25?
3
4
5
6
The common difference in an arithmetic sequence is the difference between each term. So here it's 15 - 10 = 5, 20 - 15 = 5, 25 - 20 = 5.
4.
What is the next number in this sequence: 2, 4, 8, 16 ?
18
20
24
32
This sequence doubles each time. So the next number after 16 is 16 x 2 = 32.
5.
Which number in this sequence is a prime number: 21, 22, 23, 24?
21
22
23
24
23 is a prime number as it has only two distinct positive divisors: 1 and 23.
6.
If each term in this sequence is halved: 16, 8, 4, 2... what will be the 5th term?
1
0.75
0.5
0.25
If each term is halved, following the sequence: 16 ÷ 2 = 8, 8 ÷ 2 = 4, 4 ÷ 2 = 2, the fifth term would be 2 ÷ 2 = 1.
7.
What's the 6th term of the geometric sequence that starts with 3 and each successive term increases by a factor of 2?
48
60
72
96
The sequence will be: 3, 6, 12, 24, 48, 96. So the 6th term is 96.
8.
What is the 7th number of this fibonacci sequence: 1, 1, 2, 3, 5, 8 ...?
11
12
13
14
In Fibonacci sequence each number is the sum of the two preceding ones. So the 7th number is 5 + 8 = 13.
9.
What is the common difference of this arithmetic sequence: 4, 8, 12, 16?
2
3
4
5
The common difference of this arithmetic sequence is 4 (8 - 4 = 4, 12 - 8 = 4, 16 - 12 = 4).
10.
What is the 5th term of this sequence if the 1st term is 1 and each successive term increases by 3?
13
14
15
16
The sequence will look like this: 1, 4, 7, 10, 13 . The 5th term is 13.
Author:  Graeme Haw 