Geometric Models

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

Tags

CCSS.HSF.BF.A.2

Write the recursive rule for the geometric sequence:
64, 16, 4,...

• a₁ = 64; a_n = a_n-1 - ¼

• a₁ = 4; a_n = 4(a_n-1)

• a₁ = 64; a_n = 4(a_n-1)

• a₁ = 64; a_n =   1/4(a_n-1)

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Given the rule:  a_n = 7(½)^n-1
Identify the common ratio.

• a_n

• 7

• ½

• n-1

Tags

CCSS.HSF.BF.A.2

Given a geometric sequence where a₃ = 320 and a₆ = 20480, find a₈

• 4

• 20

• 16,384

• 327,680

Tags

CCSS.HSF.BF.A.2

A geometric sequence models what type of function?

• linear

• quadratic

• exponential

• absolute value

Find the eighth term of a geometric sequence for which a₃ = 224 and r = -½.

• -28

• -112

• 56

• -7

Tags

CCSS.HSF.BF.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 is the common ratio of this geometric sequence?

{2, 10, 50, 250, ... }

• 1,250

• 5

• 10

• 50

Tags

CCSS.HSF.BF.A.2