10/25 Classwork: Arithmetic and Geometric Sequences Practice

256, 128, 64, 32, ...

What's next?

• 24

• 18

• 16

• 8

Tags

CCSS.3.OA.D.9

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r

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)

Tags

CCSS.HSF.BF.A.2

A sequence can be generated by using a_n = a_(n-1) +9

where a₁ = 4

and n is a whole number greater than 1.

What are the first three terms in the sequence?

• 4, 36, 324

• 4, 13, 22

• 9, 13, 17

• 4, 8, 12

Tags

CCSS.HSF.BF.A.2

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683
• 6,561
• 2,187
• 729

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

Is the sequence 7, 9, 12, 16,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

Find the next three terms for the geometric sequence:

64, 16, 4,...

• 0, -4, -8

• 1, ¹/₄, ¹/₁₆

• 1, -3, -7

• cannot be determined

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence:
64, 16, 4,...

• 4
• -4
• ¼
• -¼

Tags

CCSS.HSF.BF.A.2