Geometric Sequence
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
4, 11, 18, ...
Arithmetic
d=7
Find the equation of the horizontal asymptote of the following function.
f(x)=−2(8/5)x+4
y=4
A new car is purchased for 16200 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent, after 6 years?
$6440.50
What is the percent growth/decay rate?
y=5(0.5)^x
decay by 50%
Find h(5). h(x)=−2x2+3x+1
h(5)=-34
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
98, 14, 2, ...
Geometric
r=1/7
Find the equation of all horizontal asymptotes of the following function.
f(x) = 4(1.5)x
y=0
6700 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 28 years, to the nearest cent?
$61,667.47
What is the percent growth/decay rate?
y=5(1.3)^x
growth by 30%
A group consisting of 21 aggressive zombies quadruples in size every hour. Write the function that can be used to find the number of zombies, Z(h) after h hours.
Z(h)=21(4)h
Find the 10th term, round to the nearest thousandth (if necessary).
3,18/5,108/25,...
15.479
Find the equation of all horizontal asymptotes of the following function.
f(x)=(3/2)x-8
y=-8
A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
14708 people
What is the percent growth/decay?
y=(0.01)^x
decay by 99%
9,400 dollars is placed in a savings account with an annual interest rate of 2.7%. If no money is added or removed from the account, write a function that can be used to calculate the amount of money in the account A(t) after t years.
A(t)=9400(1.027)t
Write an explicit formula for anan, the nthnth term of the sequence 5,−20,80,...
an=5(-4)n-1
What is the Domain of the following function
f(x)=−2(8/5)x+4
ALL Real Numbers
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
f(x) = 26400(.88)3.5 = $16,876.92
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay by 30%
A new car is purchased for 28,900 dollars. The value of the car depreciates at a rate of 5% per year. Formulate a function that can be used to calculate the value of the car, C(t) after t years.
C(t)=28900(0.95)t
Write an explicit formula for anan, the nthnth term of the sequence 27,9,3,...
an=27(31)n−1
What is the Range of the following function?
f(x)=(3/2)x-8
y>-8
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
What is the percent growth/decay rate?
y=60(1.33)^x
growth by 33%
Given the functions f(x)=4x4 and g(x)=6⋅3x, which of the following statements is true?
f(9)>g(9)
f(9)<g(9)
f(9)=g(9)
f(9)<g(9)