Sequences

256, 128, 64, 32, ...

What's next?

• 24

• 18

• 16

• 8

Tags

CCSS.HSF.BF.A.2

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

5, 15, 45, 135 is a ...

• Geometric sequence with r = 3

• Geometric sequence with r = 1/3

• Arithmetic sequence with d = 10

• Arithmetic sequence with d = 3

Tags

CCSS.HSF.BF.A.2

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

• 8
• 11
• -11
• -8

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

Write a formula for the following sequence:

4, 12, 36, 108...

• a_n = 4(3^n-1)

• a_n = 4(3ⁿ)

• a_n = 4+3n

• a_n = 4(3n)

Tags

CCSS.HSF.BF.A.2

What is the 100th term in the sequence a_n = 4n-12

• 388

• 40012

• -388

• 100

Tags

CCSS.HSF.BF.A.2

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2