# Write the First Five Terms of a Sequence from a Given Rule

In this worksheet, students match the first five terms of a sequence with their positions. The rule is given.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Generate Terms of a Sequence

Difficulty level:

### QUESTION 1 of 10

This worksheet is about following a simple rule to write down the first five terms of a sequence.

Example 1

Write down the first 5 terms of a sequence starting with 9 and adding 4 each time.

 9 13 17 21 25 +4 +4 +4 +4

Example 2

Write down the first 5 terms of a sequence starting with 89 and subtracting 11 from the previous term.

 89 78 67 56 45 -11 -11 -11 -11

A sequence starts with the number 23.

Each term is found by adding 17 to the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
91
2nd
74
3rd
40
4th
23
5th
57

A sequence starts with the number 25.

Each term is found by multiplying the previous term by 4.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
400
2nd
100
3rd
6400
4th
1600
5th
25

A sequence starts with the number 128.

Each term is found by dividing the previous term by 2.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
16
2nd
64
3rd
8
4th
128
5th
32

A sequence starts with the number 4.

Each term is found by dividing the previous term by 2.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
2
2nd
4
3rd
¼
4th
1
5th
½

A sequence starts with the number 128.

Each term is found by subtracting 17 from the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
77
2nd
111
3rd
60
4th
128
5th
94

A sequence starts with the number 28.

Each term is found by subtracting 10 from the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
-2
2nd
28
3rd
8
4th
18
5th
-12

A sequence starts with the number 128.

Each term is found by adding 17 to the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
128
2nd
145
3rd
162
4th
179
5th
196

A sequence starts with the number 729.

Each term is found by dividing the previous term by 3.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
729
2nd
9
3rd
27
4th
81
5th
243

A sequence starts with the number 1024.

Each term is found by dividing the previous term by 4.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
1024
2nd
4
3rd
64
4th
256
5th
16

A sequence starts with the number 20.

Each term is found by dividing the previous term by 2.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
2.5
2nd
5
3rd
1.25
4th
20
5th
10
• Question 1

A sequence starts with the number 23.

Each term is found by adding 17 to the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
23
2nd
40
3rd
57
4th
74
5th
91
EDDIE SAYS
The sequence starts with 23 so the first number must be 23. All we then do is add 17 each time.
• Question 2

A sequence starts with the number 25.

Each term is found by multiplying the previous term by 4.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
25
2nd
100
3rd
400
4th
1600
5th
6400
EDDIE SAYS
The sequence starts with 25 so the first number must be 25. All we then do is multiply by 4 each time.
• Question 3

A sequence starts with the number 128.

Each term is found by dividing the previous term by 2.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
128
2nd
64
3rd
32
4th
16
5th
8
EDDIE SAYS
The sequence starts with 128 so the first number must be 128. All we then do is divide by 2 each time.
• Question 4

A sequence starts with the number 4.

Each term is found by dividing the previous term by 2.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
4
2nd
2
3rd
1
4th
½
5th
¼
EDDIE SAYS
The sequence starts with 4 so the first number must be 4. All we then do is divide by 2 (half) each time.
• Question 5

A sequence starts with the number 128.

Each term is found by subtracting 17 from the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
128
2nd
111
3rd
94
4th
77
5th
60
EDDIE SAYS
The sequence starts with 128 so the first number must be 128. All we then do is subtract 17 each time.
• Question 6

A sequence starts with the number 28.

Each term is found by subtracting 10 from the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
28
2nd
18
3rd
8
4th
-2
5th
-12
EDDIE SAYS
The sequence starts with 28 so the first number must be 28. All we then do is subtract 10 each time.
• Question 7

A sequence starts with the number 128.

Each term is found by adding 17 to the previous term.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
128
2nd
145
3rd
162
4th
179
5th
196
EDDIE SAYS
The sequence starts with 128 so the first number must be 128. All we then do is add 17 each time.
• Question 8

A sequence starts with the number 729.

Each term is found by dividing the previous term by 3.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
729
2nd
243
3rd
81
4th
27
5th
9
EDDIE SAYS
The sequence starts with 729 so the first number must be 729. All we then do is divide by 3 each time.
• Question 9

A sequence starts with the number 1024.

Each term is found by dividing the previous term by 4.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
1024
2nd
256
3rd
64
4th
16
5th
4
EDDIE SAYS
The sequence starts with 1024 so the first number must be 1024. All we then do is divide by 4 each time.
• Question 10

A sequence starts with the number 20.

Each term is found by dividing the previous term by 2.

Match the first five terms of the sequence with their positions in the sequence.

## Column B

1st
20
2nd
10
3rd
5
4th
2.5
5th
1.25
EDDIE SAYS
The sequence starts with 20 so the first number must be 20. All we then do is divide by 2 each time. Don't worry that you get decimals, that's a perfectly OK answer.
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