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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