Arithmetic and Geometric Sequence

Find the next three terms in the following geometric sequence:

216, 36, 6, 1,…

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Write an equation for the nth term of the geometric sequence then find the 6th term.

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How is an arithmetic sequence found?

• By multiplying the same number to the previous term. 

• By adding the same number to the previous term.

How is an geometric sequence found?

• By adding the same number to the previous term.

• By multiplying the previous term by the same number. 

Describe the relationship between the terms in the arithmetic sequence 
4, 8, 12, 16

• Subtracting 4 to the previous term

• Adding 4 to the previous term

• Multiplying by 2 to the previous term

• Dividing each term by 2

Describe the relationship between the terms in the arithmetic sequence 
15, 30, 45, 60

• Adding 15 to the previous term

• Subtracting 15 to the previous term 

• Multiplying each term by 3

• Dividing the previous term by 2

Describe the relationship between the terms in the arithmetic sequence 
15, 12, 9, 6

• Adding 3 to the previous term

• Subtracting 3 to the previous term

• Dividing the previous term by 3

• Multiplying the previous term by 3

Describe the relationship between the terms in the geometric sequence
2, 4, 8, 16

• Multiplying the previous term by 2. 

• Adding by 2 to the previous term. 

• Subtracting the previous term by 4

• Multiplying the previous term by 4

Describe the relationship between the terms in the geometric sequence
3, 9, 27, 81

• Multiplying the previous term by 2

• Multiplying the previous term by 3

• Dividing the previous term by 3

• Adding 3 to the previous term

Describe the relationship between the terms in the geometric sequence
4, 16, 64, 256

• Adding 12 to the previous term. 

• Multiplying the previous term by 3

• Multiplying the previous term by 4

• Multiplying the previous term by 6