Geometric Sequences

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

• 18, 22, 26
• 19, 21, 23
• 19, 23, 27
• 18, 21, 24

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

Find the common ratio of the geometric sequence:      -2, -4, -8, -16, . . . 

• -2
• 2
• 4
• -4

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

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

Tags

CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2