Application Arithmetic and Geometric Sequences

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

Tags

CCSS.HSF.BF.A.2

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4

Tags

CCSS.HSF.BF.A.2

The first term in an arithmetic sequence is -8 and the common difference is 14.  What is the 28th term given the equation a_n = a₁ + d (n - 1)

• 378

• 1024

• -324

• 370

Tags

CCSS.HSF.BF.A.2

The first term in a geometric sequence is 160 and the common ratio is 1/2.  What is the 7th term given the equation a_n = a₁ (r)^n-1

• 5

• 2.5

• 10

• 1.25

Tags

CCSS.HSF.BF.A.2

The graph of an arithmetic sequence is ​ ​ (a)   and the graph of a geometric sequence is ​ (b)   .

• linear

• exponential

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

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

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Tags

CCSS.HSF.BF.A.2

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

• 8

• 11

• -11

• -8

Tags

CCSS.HSF.BF.A.2