Geometric Sequence

Find the next three terms for the geometric sequence:
64, 16, 4,...

• 0, -4, -8
• 1, ¼, 1/16
• 1, -3, -7
• cannot be determined

Find the next three terms for the geometric sequence:
2, -12, 72, ...

• 432, 2592, 15,552
• -432, 2592, -15,552
• 3672, 25,272, 154,872
• cannot be determined

Determine the common ratio for the geometric sequence:
2, -12, 72, ...

• 6
• -⅙
• -6
• ⅙

Write the explicit rule for the geometric sequence:
2, -12, 72, ...

• a_n = 72(-6)^n-1
• a_n = 2(-6)^n-1
• a_n = 2(6)^n-1
• a_n = 72(-6)^n-1

Find a₁₁ in the following geometric sequence:

-3, 6, -12, 24

• -4,096

• -¹/₂₅₆

• -3,072

• -236,196

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.

• a_n = 729(1/3)^n-1

• a_n = 729(3)^n-1

• a_n = 1/3(a_n-1)

• a_n = 1/3(729)^n-1

Write the explicit formula 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

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

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

Find the 11^th term for:  64, -32, 16, -8, …  

• -.0625
• .0625
• -.03125
• .03125

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024