# Sequences: Describe Linear Number Sequences

In this worksheet, students describe linear number sequences by giving the starting number and the rule.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Sequences

Difficulty level:

### QUESTION 1 of 10

Look at this number sequence.

12, 14, 16, 18, 20, ...

The sequence starts at 12 and the rule is to add 2 to the previous term.

The 1st term is 12.

The 2nd term is 14.

The 3rd term is 16.

The 4th term is 18.

The 5th term is 20.

Example

Look at this sequence.

12, 19, 26, 33, 40, ...

What is the starting number and what is the rule?

The 1st term is 12 so that is the starting number.

19 - 12 = 7

26 - 19 = 7

33 - 26 = 7

40 - 33 = 7

So the rule is to ADD 7.

Look at this sequence.

10, 14, 18, 22, 26, ...

What is the starting number and what is the rule?

Look at this sequence.

10, 15, 20, 25, 30, ...

What is the starting number and what is the rule?

Look at this sequence.

8, 15, 22, 29, 36, ...

What is the starting number and what is the rule?

Look at this sequence.

12, 15, 18, 21, 24, ...

What is the starting number and what is the rule?

Look at this sequence.

18, 26, 34, 42, 50, ...

What is the starting number and what is the rule?

Look at this sequence.

21, 32, 43, 54, 65, ...

What is the starting number and what is the rule?

Look at this sequence.

9, 21, 33, 45, 57, ...

What is the starting number and what is the rule?

Look at this sequence.

9, 23, 37, 51, 65, ...

What is the starting number and what is the rule?

Look at this sequence.

1, 23, 45, 67, 89, ...

What is the starting number and what is the rule?

Look at this sequence.

7, 24, 41, 58, 75, ...

What is the starting number and what is the rule?

• Question 1

Look at this sequence.

10, 14, 18, 22, 26, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 10.
Subtract next-door terms to get 4.
• Question 2

Look at this sequence.

10, 15, 20, 25, 30, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 10.
Subtract next-door terms to get 5.
• Question 3

Look at this sequence.

8, 15, 22, 29, 36, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 8.
Subtract next-door terms to get 7.
• Question 4

Look at this sequence.

12, 15, 18, 21, 24, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 12.
Subtract next-door terms to get 3.
• Question 5

Look at this sequence.

18, 26, 34, 42, 50, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 18.
Subtract next-door terms to get 8.
• Question 6

Look at this sequence.

21, 32, 43, 54, 65, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 21.
Subtract next-door terms to get 11.
• Question 7

Look at this sequence.

9, 21, 33, 45, 57, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 9.
Subtract next-door terms to get 12.
• Question 8

Look at this sequence.

9, 23, 37, 51, 65, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 9.
Subtract next-door terms to get 14.
• Question 9

Look at this sequence.

1, 23, 45, 67, 89, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 1.
Subtract next-door terms to get 22.
• Question 10

Look at this sequence.

7, 24, 41, 58, 75, ...

What is the starting number and what is the rule?

EDDIE SAYS
The sequence starts at 7.
Subtract next-door terms to get 17.
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