Geometric Sequence

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

512, 256, 128, ____, _____, _____, ...

• 32, 8, 2

• 1024, 2048, 4096

• 92, 66, 38

• 64, 32, 16

Tags

CCSS.HSF.BF.A.2

Is the sequence -432, 72, -12, 2, ... geometric?

• yes

• no

Tags

CCSS.HSF.BF.A.2

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1.

What is the common ratio (r) of the sequence?

• 2

• 2ⁿ

• 10

• 20

Tags

CCSS.HSF.BF.A.2

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 6

• 3

• 2

• 4

Tags

CCSS.HSF.BF.A.2

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

a_n = 4(5)^n-1

• 4, 9, 14, 19

• 5, 20, 80, 320

• 20, 100, 500, 2500

• 4, 20, 100, 500

Tags

CCSS.HSF.BF.A.2

What does r represent?

• Common ratio

• Common difference

• Radical

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

10, 40, 160, 640, ...

• 2

• 4

• 10

• 1/2

Tags

CCSS.HSF.BF.A.2

A geometric sequence has a common ratio (r) of 3 and the 8th term (a₈) is 13,122.

What is the first term of the sequence (a₁)?

• 18

• 6

• 2

• 3

Tags

CCSS.HSF.BF.A.2

What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 27

• 768

• 1,536

• 384

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

3, -12, 48, -192, ...

• a_n = -4(3)^n-1

• a_n = 4(3)^n-1

• a_n = 3(-4)^n-1

• a_n = 3(4)^n-1

Tags

CCSS.HSF.BF.A.2