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Common Integer Sequences (2)

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

'Common Integer Sequences (2)' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Recognise and Use a Range of Sequences

Difficulty level:  

down

Worksheet Overview

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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
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.


CORRECT ANSWER
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.


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

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