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Level 3-4 Algebra - Sequences
These are sequins but an ordered set of numbers that follow a pattern is called a sequence.

Level 3-4 Algebra - Sequences

Dive into this KS3 Maths quiz where we explore lists of numbers strutting their patterns. Some sequences are easy to spot, like, 1, 3, 5, 7 - the gang of odd numbers or 15, 20, 25, 30, marching up in 5s. But brace yourself, the questions below aren't a walk in the park. That wouldn't be fun, right?

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Figuring out the secret code in a number sequence is a bit like being a detective. Check the gap between each pair of numbers – is it the same every time? Bingo, you've cracked the code! If the gaps change, things get trickier. Jot down each change and see if they're doubling, tripling, or playing some other maths game.

Mastering these patterns is like a superpower for algebra. The more you spot, the better you become at the maths game. Go slow, understand each question, and ace this quiz. Good luck!

1.
An ordered set of numbers that follow a pattern is called what?
A Secret
A Sequel
A Sequence
A Sequin
A sequence is a particular order in which related things follow each other
2.
When numbers are put together in such a way that they follow a pattern, they are said to follow a what?
Riley
Roller
Rule
Ruler
The rule might be 'add four' or 'double the last number' for example
3.
Each number in a sequence is called a(n) …….
Unit
Term
Item
Position
Terms in a sequence are often labelled Tn where n indicates the position of the term in the sequence: for the 1st term, n = 1, for the 2nd n = 2 etc
4.
What are the next three numbers in this sequence: 28, 24, 20, 16?
14, 12, 10
15, 14, 13
20, 24, 28
12, 8, 4
Each number is 4 less than the previous number. If asked to give the rule we might say 'Take 4 from the previous number'
5.
What are the 3 missing numbers in the following sequence 3, 6, ....... , ....... , ....... , 18, 21, 24?
7, 8, 9
8, 10, 14
9, 12, 15
3, 6, 12,
The rule is that we add 3 to the previous number
6.
What is the rule in the following sequence 2, 4, 8, 16, 32, 64, 128?
Add 8 to the previous number
Add together the two previous numbers
Double the previous number
Halve the previous number
If you carried this sequence on the numbers would soon become astronomical!
7.
Which numbers come next in the following sequence: 1, 1, 2, 3, 5, 8?
13, 21, 34
11, 14, 17
5, 3, 2
12, 20, 30
This sequence is called the Fibonacci sequence. The rule is that we add together the two previous numbers. Sometimes sequences are easy to spot and at other times they take a lot of thinking about!
8.
What is the nth term (Tn) in the sequence 1, 2, 3, 4, 5, …….?
9
n
n + 1
n - 1
These are simply the counting numbers. The first term is 1; the second term is 2; the third term is 3 etc., so the nth term, Tn, is just n
9.
What is the nth term in this sequence: 4, 7, 10, 13, …….?
n + 4
3n + 1
2n + 2
5n - 1
Try out each rule to find which fits. If Tn = 3n + 1, when n = 1 the 1st term is 3 x 1 + 1 = 4 but if Tn = n + 4, the 1st term is 1 + 4 = 5
10.
What is the sixth term in the sequence with Tn = 2n - 5?
7
10
17
27
Use n = 6 to find the value of Tn
You can find more about this topic by visiting BBC Bitesize - Patterns and sequences

Author:  Frank Evans
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