Geometric Sequences

Write the explicit formula for the geometric sequence.

• 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 geometric sequence.

• a_n = 7(1)ⁿ
• a_n = 7(-1)ⁿ
• a_n = 7(-1)^n-1
• a_n = -1(7)^n-1

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• -4
• 4
• 1/4
• -1/4

Tags

CCSS.HSF.BF.A.2

What is the 14th term of the geometric sequence?

• 14,348,907
• 4,782,969
• 1,594,323
• 45

Tags

CCSS.HSF.BF.A.2

What does r represent?

• Radical

• Common difference

• Common ratio

Tags

CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

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

Which recursive formula best describes the sequence
2, -6, 18, - 54... 

• a_n=a_n-1* -4, a₁ = 2
• a_n=a_n-1* - 8, a₁ =2
• a_n=a_n-1* 2, a₁ = -3
• a_n=a_n-1* -3, a₁ =2

Tags

CCSS.HSF.IF.A.3

Find the common ratio: 64, -16, 4, -1, ...

• r = -8
• r = -1/4
• r = -4
• r = 4

Tags

CCSS.HSF.BF.A.2

Determine the first 3 terms of the following sequence.

t₁= -3

t_n=t_n-1(3)

• -3, 9, 27

• -3, -9, -27

• -3, -6, -9

• -3, 6,9

Tags

CCSS.HSF.BF.A.2