Geometric Sequences

What is the common ratio for the following sequence:

3, 15, 75, 375, ...

• 12

• 1/5

• 5

• 3

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

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

3, 9, 27, 81, ...

• 14,348,907

• 4,782,969

• 1,594,323

• 45

Tags

CCSS.HSF.BF.A.2

Does this graph show an arithmetic or a geometric sequence?

• Arithmetic
• Geometric
• Neither
• Both

Tags

CCSS.HSF.BF.A.2

Given the rule: a_n = 7(½)^n-1

Identify the first term.

• a_n

• 7

• ½

• n

Tags

CCSS.HSF.BF.A.2

Write the explicit rule for the following 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

Tags

CCSS.HSF.BF.A.2