# Common Integer Sequences (2)

In this worksheet, students study common integer sequences that have been modified slightly.

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Recognise and Use a Range of Sequences

Difficulty level:

### QUESTION 1 of 10

You should know the following important sequences.  In this worksheet, look out for these sequences or variations of these.

Counting numbers

1, 2, 3, 4, 5, 6, 7, 8.......

Multiples of 2

2, 4, 6, 8, 10, 12, 14, 16......

Powers of 2

2, 4, 8, 16, 32, 64, 128, 256......

Powers of 10

10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000......

Fibonacci

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89......

Square numbers

1, 4, 9, 16, 25, 36, 49, 64......

Cube numbers

1, 8, 27, 64, 125, 216, 343, 512......

Triangle numbers

1, 3, 6, 10, 15, 21, 28, 36, 45......

Example

2, 4, 7, 11, 16...... is simply the triangle number sequence with one added.

Write down the next three terms in the following sequence.

2, 4, 8, 16, 32, 64....

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

21, 23, 25, 27, 29...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

9, 16, 25, 36, 49, ...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

20, 200, 2000, 20000, ...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

2, 8, 18, 32, 50, ...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

2, 5, 10, 17, 26, ...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

1, 8, 27, 64, ...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

10, 80, 270, 640, ...

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

20, 40, 80, 160, 320, 640....

Write your answers separated by a comma and a space.

Write down the next three terms in the following sequence.

3, 4, 7, 11, 18, 29 ....

Write your answers separated by a comma and a space.

• Question 1

Write down the next three terms in the following sequence.

2, 4, 8, 16, 32, 64....

Write your answers separated by a comma and a space.

128, 256, 512
• Question 2

Write down the next three terms in the following sequence.

21, 23, 25, 27, 29...

Write your answers separated by a comma and a space.

31, 33, 35
• Question 3

Write down the next three terms in the following sequence.

9, 16, 25, 36, 49, ...

Write your answers separated by a comma and a space.

64, 81, 100
• Question 4

Write down the next three terms in the following sequence.

20, 200, 2000, 20000, ...

Write your answers separated by a comma and a space.

200000, 2000000, 20000000
• Question 5

Write down the next three terms in the following sequence.

2, 8, 18, 32, 50, ...

Write your answers separated by a comma and a space.

72, 98, 128
EDDIE SAYS
Double the square numbers
• Question 6

Write down the next three terms in the following sequence.

2, 5, 10, 17, 26, ...

Write your answers separated by a comma and a space.

37, 50, 65
EDDIE SAYS
One more than the square numbers
• Question 7

Write down the next three terms in the following sequence.

1, 8, 27, 64, ...

Write your answers separated by a comma and a space.

125, 216, 343
EDDIE SAYS
Cube numbers
• Question 8

Write down the next three terms in the following sequence.

10, 80, 270, 640, ...

Write your answers separated by a comma and a space.

1250, 2160, 3430
EDDIE SAYS
Cube numbers multiplied by 10
• Question 9

Write down the next three terms in the following sequence.

20, 40, 80, 160, 320, 640....

Write your answers separated by a comma and a space.

1280, 2560, 5120
EDDIE SAYS
Powers of 2 multiplied by 10
• Question 10

Write down the next three terms in the following sequence.

3, 4, 7, 11, 18, 29 ....

Write your answers separated by a comma and a space.

47, 76, 123
EDDIE SAYS
Fibonacci type sequence
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial