Number Patterns & Sequences (Arithmetic & Geometric)

This lesson covers:

  1. The two types of number sequences: arithmetic and geometric
  2. Arithmetic sequences are those where a 'common difference' added each time 
  3. Geometric sequences are those where each term is multiplied by a 'common ratio' each time

What is the pattern in the following sequence:

14,19,24,29,34

Dividing by 5 each time

Subtracting 5 each time

Adding 5 each time

Multiplying by 5 each time

0

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1

Which statements about the sequence below are true?

14,19,24,29,34

The common ratio is 5

It is a geometric sequence 

It is an arithmetic sequence 

The common difference is 5

0

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2

What is the pattern in the following sequence:

3,6,12,24,48

Multiplying by 2 each time

Subtracting 2 each time

Dividing by 2 each time

Adding 2 each time

0

/

1

Which statements about the sequence below are true?

3,6,12,24,48

The common ratio is 2

It is a geometric sequence 

It is an arithmetic sequence 

The common difference is 2

0

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2

Is the following sequence arithmetic or geometric?

5,15,45,135

Geometric

Arithmetic

[0/1]

What is the 'common ratio' for the sequence?

3

[0/1]

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2

Is the following sequence arithmetic or geometric?

27,18,9,0,9

Arithmetic

Geometric

[0/1]

What is the 'common difference' for the sequence?

-9

[0/1]

0

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2

Is the following sequence arithmetic or geometric?

16,8,4,2,1

Arithmetic

Geometric

[0/1]

What is the 'common ratio' for the sequence?

0.5|\frac{1}{2}

[0/1]

0

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2

Is the following sequence arithmetic or geometric?

64,16,4,1,0.25

Arithmetic

Geometric

[0/1]

What is the 'common ratio' for the sequence?

0.25|\frac{1}{4}

[0/1]

0

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2

Is the following sequence arithmetic or geometric?

13,21,29,37,45

Arithmetic

Geometric

[0/1]

What is the 'common difference' for the sequence?

8

[0/1]

0

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2