Algebra 2 4.3 Geometric Sequences

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

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

512, 256, 128, ___, ___, ___, ...

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the following 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 the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

Tags

CCSS.HSF.BF.A.2

Find a₁₂ in the following geometric sequence:

-1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

Tags

CCSS.HSF.BF.A.2

Write an explicit formula for the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3

• a_n = 5(3)^n-1

• a_n = 3(5)^n-1

• a_n = 5 + (n-1)3

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

Tags

CCSS.HSF.BF.A.2

Find a₁₂ for the geometric sequence defined by the following formula:

a_n = 6(2)^n-1

• 4096

• 24,576

• 2048

• 12,288

Tags

CCSS.HSF.BF.A.2

Find a₁₁ in the following geometric sequence:

-3, 6, -12, 24

• -4,096

• -¹/₂₅₆

• -3,072

• -236,196

Tags

CCSS.HSF.BF.A.2