Geometric Sequence and Series

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

Write the general term 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

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

What is the common ratio of this sequence ? 5, 25, 125, ...

• 4

• 2

• 5

• 6

Which of the following is a geometric sequence?

• 2, 4, 5, . . .

• 2, 6, 18, . . .

• 2, 4, 6, . . .

• 10, 20, 200, . . .

Solving for the nth term of geometric sequence, given that a₁ = 1 and r= 2, what is the value of the 4th term?

• 2

• 8

• 4

• 16

Find the common ratio for the geometric sequence.

• 1

• -1

• 7

• -7

The next term of the geometric sequence

4, 16, 64, ...

is

• 256

• 132

• 120

• 150

Find the next three terms of the following geometric sequence:

4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

• 324, 648, 1296

Write the explicit formula for the following geometric sequence: 100, 50, 25, 12.5, ...

• a_n = 2(100)^n-1

• a_n = 100(2)^n-1

• a_n = 100(1/2)^n-1

• a_n = (1/2)(100)^n-1