 # Practice - Sequences - 09

Welcome to the marvellous world of maths sequences! Sequences are just number patterns, and they're all around us every day, from the ticking clock to the change in our pockets. Let's test your pattern skills with this exciting KS3 maths sequences quiz that will challenge you and create extra maths fun!
1.
What's the common difference in the arithmetic sequence: 4, 9, 14, 19, 24?
7
5
6
4
Subtract the first term from the second or the second from the third, and so on. The common difference is 5.
2.
The sequence begins with 5, 10, 15, 20. What is the 12th term?
60
10
40
30
The pattern is +5 each time. Therefore, the 12th term is 5 x 12 = 60.
3.
If the sequence starts at 2, and each term doubles the previous one, what would the 5th term be?
8
16
32
64
Here each term is double the previous one, so the 2nd term is 4, 3rd is 8, 4th is 16, and hence, 5th term will be 32.
4.
Find the 6th term in the sequence given by the formula 2n - 3?
10
9
8
12
Substitute n = 6 into the formula and simplify. The sixth term is 9.
5.
Find the next term in the sequence: 1, 4, 7, 10 __?
11
12
13
14
This is an arithmetic sequence with a common difference of 3. Hence, the next term is 10 + 3 = 13.
6.
Find the first 4 terms of the sequence where nth term is given by the formula n2 + 2n + 1?
1, 4, 9, 16
4, 7, 12, 19
2, 6, 12, 20
3, 8, 15, 24
Substitute n = 1, n = 2, n = 3, and n = 4 into the formula and simplify. The first four terms are 4, 7, 12, and 19.
7.
If the sequence begins with 2, 4, 6, 8, what is the 7th term?
16
18
14
12
The sequence is increasing by 2 each time. So the 7th term is 2 x 7 = 14.
8.
Each term in the sequence 3, 9, 15, 21 is increased by __?
6
3
2
4
The common difference between the terms in this sequence is 6.
9.
Is the sequence 4, 8, 16, 32 arithmetic?
Yes
No
Can't say
Maybe
The sequence is not arithmetic as the difference between the terms is not constant. It's actually a geometric sequence where each term is the previous term multiplied by a constant.
10.
Which term of the sequence 11, 22, 33, 44 would be 77?
5th
7th
6th
8th
The common difference here is 11. So, to get to 77, the term would be 77 ÷ 11 = 7. It's the 7th term.
Author:  Graeme Haw 