Geometric Sequences

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

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

• yes
• no

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147
• -19,683
• -59,049
• 118,098

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

• 2
• 1/2
• -14
• -7

What is the recursive formula for the sequence:

11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x 2

• a_n = 11(2)^n-1

• a_n = 2a_n-1

Given the geometric sequence with a common ratio of ⅓ and the fifth term is 54, find the first term.

• 162
• 486
• 4374
• ⅔

Write the explicit formula for the following geometric sequence:

10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Write the explicit formula for the following geometric sequence.

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

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

What is the 14th term of the following geometric sequence?

3, 9, 27, 81, ...

• 14,348,907

• 4,782,969

• 1,594,323

• 45