Math 1 Unit 6 Review

The first term of a geometric sequence is -10 and the common ratio is 1/5. What is the third term in the sequence?

• -5

• -2

• -5/2

• -2/5

What are the next two terms in the sequence 32768, 8192, 2048, ...

• 512 and 1024

• 128 and 32

• 512 and 128

• 1024 and 128

Write the recursive rule in explicit form: f(1)=20, f(n-1)⋅¼ for n≥2

• f(n)=20(¼)^n-1

• f(n)=5(¼)^n-1

• f(n)=¼(20)^n-1

• f(n)=¼(5)^n-1

What is the exponential function for the table above?

• y=8(3)^x

• y=-8(-3)^x

• y=24(-3)^x

• y=8(-3)^x

What is y=3(4)^x when x=-2

• 48

• 0.75

• 0.1875

• 0.046875

Which equations matches the transformation g(x) of the graph the exponential function f(x)=2^x above?

• g(x)=2^x-6

• g(x)=2^x+5

• g(x)=2^x-6

• g(x)=2^x-5

Describe the transformation of y=2^x that results in y=2^x-6

• vertical shift 6 units down

• vertical shift 6 units up

• vertical shift 2 units down

• vertical shift 2 units up

Solve 3(6)^x =648

• 216

• 36

• 6

• 3

The function f(x)=30(1.5)^x gives the number of bacteria in an experiment, where x is the number of days after the start of the experiment. To the nearest whole number, how many bacteria will there be after 5 days?

• 277.8125

• 227

• 227.8125

• 228

Write a regression equation that could represent a town with an initial population of 1296 people and an annual growth rate of approximately 5%.

• y=1296(0.05)^x

• y=1296(0.95)^x

• y=1296(1.05)^x

• y=1296(0.50)^x