Geometric Sequences and Exponential Growth and Decay

The table shows the value of a townhome for 3 years after it is purchased. The values form a geometric sequence. If the pattern continues, how much will the townhome be worth after 7 years?

• $457,763.67
• $457,633.12
• $452,000.00
• $366,210.93

The value of a sculpture is increasing 5% every month. The original value of the sculpture is $6,400. Identify the exponential growth function to model this situation.

• y = 6400(1.5)^t
• y = 6400(1.05)^t
• y = 6400(0.95)^t
• y = 6400(15)^t

$20,000 is invested at a rate of 5% compounded quarterly. Find the balance after 5 years. 

• $20,460.81
• $20,106.73
• $25,601.69
• $25,640.74

$2,000 is invested at a rate of 4.2% compounded annually. Find the balance after 7 years. 

• $2,667.50
• $2,557.50
• $2,337.50
• $2,447.50

The population of an endangered species of insect is 480,000. The population decreases at the rate of 10% per year. Find the population of the species after 3 years. 

• 280,000
• 638,880
• 339,940
• 349,920

Identify the next three terms in the geometric sequence. 
8, 24, 72, 216, ...

• 512, 1024, 4832
• 648, 1944, 3888
• 512, 1536, 4608
• 648, 1944, 5832

The first term of a geometric sequence is 400 and the common ratio is 0.5. What is the 5^th term of the sequence?

• 100
• 50
• 25
• 5

What kind of shift  is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

What transformations occur to f(x)=5^x?

• translate right 3, up 2

• translate left 3, up 2

• translate left 3, down 2

• translate right 3, down 2

When do we have growth?
f(x) = (a)(b^x)

• a < 1
• b > 1
• 0 < b < 1
• a > 1