Geometric Sequences

Is the following sequence geometric, arithmetic, or neither?

1/3, 1, 3, 9, 27, ...

• geometric

• arithmetic

• neither

What is the common ratio for the following sequence?

32, 8, 2, 1/2, ...

• 1/4

• 2

• -2

• 4

Determine the common ratio of the following sequence.

2.125, 4.25, 8.5, 17, ...

• 1/2

• 4

• 1/3

• 2

What is the first term in the explicit formula of the geometric sequence?

a_n = 13(1.25)^n-1

• 1.25

• 13

• 16.25

• 10.4

What is the sixth term of the following sequence?

a_n = 1/3(2)^n-1

• 4.08

• 32.43

• 21.3

• 33.3

What is a₁₃ given the sequence a_n = 6000(1/2)^n-1

• 14.2

• 2.32

• 10.6

• 1.5

What is the explicit formula of the geometric sequence below?

200, 100, 50, 25, ...

• a_n = ½(200)^n-1

• a_n = 200(1/2)^n-1

• a_n = 25(2)^n-1

• a_n = (1/2)n + 200

What is the explicit formula of the geometric sequence?

10, 6, 3.6, 2.16, ...

• a_n = 10(3/5)^n-1

• a_n = 10(4)^n-1

• a_n = 3/5(3.6)^n-1

• d) not geometric

What is the 12^th term of the geometric sequence?

3, 9, 27, 54, …

• 33,769

• 531,441

• 612,476

• 492,324

What is the 8th term in the geometric sequence?

-4, 12, -36, 108, ...

• -7456

• 8432

• -6743

• 8748