Geometric sequences

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

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

• r = -4
• r = 2
• r = -2
• r = 4

Find the common ratio: 64, -16, 4, -1, ...

• r = -8
• r = -1/4
• r = -4
• r = 4

What does r represent?

• Radical

• Common difference

• Common ratio

What does a₁ represent?

• Any term

• First term

• Last term

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 for the geometric sequence.

• 10
• 1/2
• 2
• 4

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3
• a_n = 5(3)^n-1
• a_n = 3(5)^n-1
• a_n = 5 + (n-1)3

Find the common ratio for the geometric sequence.

• 2/3
• 3/2
• -2/3
• -3/2