Geometric Series

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

Write an explicit rule for the general term of 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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

• -.0625
• .0625
• -.03125
• .03125

Tags

CCSS.HSF.BF.A.2

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

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

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

A geometric sequence models what type of function?

• linear
• quadratic
• exponential
• absolute value

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

• 162
• 486
• 4374
• ⅔

Tags

CCSS.HSF.BF.A.2

What does r represent?

• Radical

• Common difference

• Common ratio

Tags

CCSS.HSF.BF.A.2

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

• yes
• no

Tags

CCSS.HSF.BF.A.2