Geometric Sequences

What does r represent?

• Radical

• Common difference

• Common ratio

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

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

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

• yes
• no

Tags

CCSS.HSF.BF.A.2

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

• r = -8
• r = -1/4
• r = -4
• r = 4

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 1
• -1
• 7
• -7

Tags

CCSS.HSF.BF.A.2

What does t₁ represent?

• Any term

• First term

• Last term

Find the first four terms of the sequence given the rule:

t_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Given the sequence:

125, 25, 5, ....

Write the rule t_n using the geometric sequence formula:

• t_n = (125)(1/5)^(n-1)

• t_n = 625(1/5)^(n-1)

• t_n = 625(5)^(n-1)

• t_n = 125 + 5n

Find t₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098