Geometric Sequences

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

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

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.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

Given the sequence:

125, 25, 5, ....

Write the explicit rule:

• t(n) = (125)(5)ⁿ

• t(n) = 125(¹/₅)^n-1

• t(n) = 625(5)ⁿ

• t(n) = 125 + 5n

Tags

CCSS.HSF.BF.A.2

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

• a_n = 64(1/2)^n-1

• a_n = (-32)^n-1

• a_n = 64(-1/2)^n-1

• a_n = (32)^n-1

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 11^th term for: 64, -32, 16, -8, …

• -.0625

• .0625

• -.03125

• .03125

Tags

CCSS.HSF.BF.A.2

Which sequence is represented by the equation a_n = 2(7)^n-1 ?

• 7, 14, 28, 56...

• 2, 14, 98, 686...

• 2, 9, 16, 23...

• 7,9,11,13...

Tags

CCSS.HSF.BF.A.2

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2