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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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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
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