A14 - Geometric Sequences 4th pd

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

Find the common ratio: 4, -16, 64, -256, ... (a)  

• r = -4
• r = 2
• r = -2
• r = 4

What does a₁ represent?

• Any term

• First term

• Last term

What does r represent?

(a)  

• Radical

• Common difference

• Common ratio

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

What is the common ratio for the following sequence:

3, 15, 75, 375, ...

• 12

• 1/5

• 5

• 3

Categorize the following:

Groups:

(a) geometric sequence

,

(b) arithmetic sequence

• common ratio

• add to get to the next term

• multiply to get to the next term

• common difference

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

What is the 5th term of the sequence 7, 14, 28, ...?

• 72

• 48

• 56

• 112

Write the explicit formula for the sequence.

216, 72, 24, 8, ...