Practice: Arithmetic and Geometric Sequences

256, 128, 64, 32, ...

What's next?

• 24

• 18

• 16

• 8

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

-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

CCSS.HSF.LE.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

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

CCSS.HSF.LE.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

CCSS.HSF.LE.A.2

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

• -4
• 10
• -122
• 174

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

• 7, 35, 175
• 7, 2, -3
• 12, 17, 22
• 7, 12, 17

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2