# Sequences: Generate Linear Number Sequences

In this worksheet, students generate linear number sequences from the given instructions and formulae.

Key stage:  KS 2

Curriculum topic:   Algebra

Curriculum subtopic:   Know Linear Number 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

A sequence starts at 15 and follows the rule to add 3 to the previous term.

What is the 5th term of this sequence?

Answer

The 1st term is 15.

The 2nd term is 15 + 3 = 18.

The 3rd term is 18 + 3 = 21.

The 4th term is 21 + 3 = 24.

The 5th term is 24 + 3 = 27.

A sequence starts at 15 and follows the rule to add 3 to the previous term.

What is the 2nd term of this sequence?

A sequence starts at 15 and follows the rule to add 3 to the previous term.

What is the 4th term of this sequence?

A sequence starts at 10 and follows the rule to add 3 to the previous term.

What is the 1st term of this sequence?

A sequence starts at 10 and follows the rule to add 3 to the previous term.

What is the 3rd term of this sequence?

A sequence starts at 20 and follows the rule to add 5 to the previous term.

What is the 3rd term of this sequence?

A sequence starts at 20 and follows the rule to add 5 to the previous term.

What is the 5th term of this sequence?

A sequence starts at 14 and follows the rule to add 6 to the previous term.

What is the 2nd term of this sequence?

A sequence starts at 14 and follows the rule to add 6 to the previous term.

What is the 6th term of this sequence?

A sequence starts at 16 and follows the rule to add 9 to the previous term.

What is the 6th term of this sequence?

A sequence starts at 16 and follows the rule to add 9 to the previous term.

What is the 10th term of this sequence?

• Question 1

A sequence starts at 15 and follows the rule to add 3 to the previous term.

What is the 2nd term of this sequence?

CORRECT ANSWER
18
EDDIE SAYS
The sequence is 15, 18, 21, 24, 27, ...
• Question 2

A sequence starts at 15 and follows the rule to add 3 to the previous term.

What is the 4th term of this sequence?

CORRECT ANSWER
24
EDDIE SAYS
The sequence is 15, 18, 21, 24, 27, ...
• Question 3

A sequence starts at 10 and follows the rule to add 3 to the previous term.

What is the 1st term of this sequence?

CORRECT ANSWER
10
EDDIE SAYS
The sequence is 10, 13, 16, 19, 22, ...
• Question 4

A sequence starts at 10 and follows the rule to add 3 to the previous term.

What is the 3rd term of this sequence?

CORRECT ANSWER
16
EDDIE SAYS
The sequence is 10, 13, 16, 19, 22, ...
• Question 5

A sequence starts at 20 and follows the rule to add 5 to the previous term.

What is the 3rd term of this sequence?

CORRECT ANSWER
30
EDDIE SAYS
The sequence is 20, 25, 30, 35, 40, ...
• Question 6

A sequence starts at 20 and follows the rule to add 5 to the previous term.

What is the 5th term of this sequence?

CORRECT ANSWER
40
EDDIE SAYS
The sequence is 20, 25, 30, 35, 40, ...
• Question 7

A sequence starts at 14 and follows the rule to add 6 to the previous term.

What is the 2nd term of this sequence?

CORRECT ANSWER
20
EDDIE SAYS
The sequence is 14, 20, 26, 32, 38, ...
• Question 8

A sequence starts at 14 and follows the rule to add 6 to the previous term.

What is the 6th term of this sequence?

CORRECT ANSWER
44
EDDIE SAYS
The sequence is 14, 20, 26, 32, 38, 44, ...
• Question 9

A sequence starts at 16 and follows the rule to add 9 to the previous term.

What is the 6th term of this sequence?

CORRECT ANSWER
61
EDDIE SAYS
The sequence is 16, 25, 34, 43, 52, 61, ...
• Question 10

A sequence starts at 16 and follows the rule to add 9 to the previous term.

What is the 10th term of this sequence?

CORRECT ANSWER
97
EDDIE SAYS
The sequence is 16, 25, 34, 43, 52, 61, 70, 79, 88, 97...
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