Geometric Sequences Growth and Decay Exponential

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

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

Identify the next three terms in the geometric sequence. 
1, -1/3, 1/9, -1/27,...

• -1/81, 1/243, -1/729

• 1/81, -1/243, 1/729

• -1/54, 1/81, -1/243

• 1/54, -1/162, 1/486

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

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

The 12th term of the sequence is
3, -9, 27, -81, 243,...?

• 531,441

• 177,147

• -177,147

• -531,441

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x