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# Practice - Sequences - 08

Hello and welcome, bright young minds! It's time for some fun with numbers in our KS3 maths sequences quiz. This test doesn't require a pen, calculator, or paper—just your cranial computer! So, are you ready to dive into the magical world of sequences? Let's find out how many you can crack!
1.
What is the 1st term in the sequence 5, 10, 20, 40...?
5
10
20
40
The sequence starts with the 1st term. So, in this sequence, the first term is 5.
2.
Which number completes the sequence 1, 4, 9, 16, ...?
20
25
30
35
This is a series of perfect squares. The next square after 16 is 25, or 52.
3.
Find the next term in geometric sequence 2, 4, 8, 16...
20
22
24
32
This is a geometric sequence where each term is multiplied by 2. So, the next term will be 16 x 2 = 32.
4.
Which of the following series is not an arithmetic sequence?
2, 5, 8, 11...
5, 10, 20, 40...
7, 9, 11, 13...
3, 8, 13, 18...
An arithmetic sequence has a constant difference between each term. Option B, 5, 10, 20, 40..., does not have a constant difference, hence it's not an arithmetic sequence.
5.
What is the common ratio of the geometric sequence 2, 6, 18, 54...?
2
3
4
5
The common ratio is found by dividing a term by the previous term. So in this sequence, each term divided by the previous term is 3. Hence, the common ratio is 3.
6.
Which term of the sequence 3, 8, 13, 18... is 93?
18th
19th
20th
21st
This is an arithmetic sequence with a common difference of 5. The nth term is 5n - 2. Thus, the 19th term will be 5 x 19 - 2 = 93.
7.
In the sequence 2, 4, 6, 8, ...., which term will be 30?
15th
20th
25th
30th
In this even number series, each term is 2 times its position. So, the 15th term = 15 x 2 = 30.
8.
Which number completes the Fibonacci sequence 1, 1, 2, 3, 5, ...?
6
7
8
9
In the Fibonacci sequence, each term is the sum of the previous two terms. So, the next term is 5 (the 5th term) + 3 (the 4th term) = 8.
9.
What is the 7th term in the sequence 5, 10, 15, 20...?
30
35
40
45
This is an arithmetic sequence where each term is 5 more than the previous term. The 7th term will be 5 x 7 = 35.
10.
What is the common difference in the sequence 3, 6, 9, 12...?
2
3
4
5
The difference between successive terms in this arithmetic sequence is 3.
Author:  Graeme Haw