Geometric Sequences

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

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find a₉ in the sequence 4, 8, 16, 32, ... 

• 384
• 512
• 768
• 1,024

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find a₁₁ in the sequence -3, 6, -12, 24

• -4,096
• -¹/₂₅₆
• -3,072
• -236,196

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• r = -8
• r = -1/4
• r = -4
• r = 4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which formula is used to find the recursive equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

What is the recursive rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x 2
• a_n = 11(2)^n-1
• a_n = 2a_n-1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

•  t(n) = (125)(5)⁽ⁿ⁾
•  t(n) = 625(1/5)⁽ⁿ⁾
•  t(n) = 625(5)⁽ⁿ⁾
•  t(n) = 125 + 5n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the general rule for: 64, -32, 16, -8, …  

• 64(1/2)^n-1
• (-32)^n-1
• 64(-1/2)^n-1
• (32)^n-1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2