6.5 - 6.6 Geometric Sequences

• 2

• -14

• -7

Find the next three terms:

4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

• Any term

• First term

• Zero Term

• Common Ratio

Find the common ratio for the geometric sequence.

• 10

• 2

• 4

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

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

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

Geometric Sequences have patterns of ...

• Multiplying and Dividing

• Adding and Subtracting

• They have no patterns

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁ = 16

  a_n = 2 a_n+1

What is the common ratio of the sequence:

16, -8 , 4, -2...

•  4