Graphing
Growth and Decay
Sequences
Potpourri
100
What button(s) do you hit to view a table after entering your function?
“2nd”+ “Graph”
100
Does the function below represent growth or decay?
f(x)=2(1.03)^x
Growth
100
Is the sequence below geometric?
11, 22, 33, 44, . . .
No, there is no common ratio or multiplying pattern. (There’s an adding pattern instead.)
100
Identify the initial amount in the function below.
f(x)=1340(5)^x
1340
200
Use your calculator to find the find the value of
f(x)=4(2)^x
when x = -1.
2
200
Identify the rate of growth or decay in the function below.
f(x)=2100(0.67)^x
33% Decay
200
Find the next term in the sequence below.
3072, 768, 192, 48, ___, …
12
200
What is Mr. Inman's favorite sport?
Baseball
300
Fill in the blank in the table for f(x)=6^x
1/6
300
A zoo currently has a population of 20 penguins. The population is expected to grow 5% each year. Write an equation to represent the scenario.
y=20(1.05)^x
300
Find the missing term in the geometric sequence below.
14, ___, 350
+-70
300
Identify the rate of growth or decay in the function below.
f(x)=2100(1.92)^x
92% Growth
400
Fill in the table for f(x)=5^x
400
Erik buys a car for $2400. The value of the car is expected to depreciate 24% each year. Write an equation to represent the scenario.
y=2400(0.76)^x
400
Write an explicit formula for the sequence below.
5, -20, 80, -320, …
a_n=5(-4)^(n-1)
400
What is the common ratio in the geometric sequence below?
100, 20, 4, ⅘, …
r = 1/5
500
Fill in the table for f(x)=(1/4)^x
500
A local newspaper currently has 225 subscribers. The number of subscribers is expected to decrease by 7% each year. Write an equation to represent the scenario and use it to calculate how many subscribers there will be in 5 years.
y=225(0.93)^x
157 Subscribers
500
Write an explicit formula for the sequence below and use it to find the 10th term in the sequence.
12288, 6144, 3072, 1536, …
a_n=12288(1/2)^(n-1)
24
500
Emmie puts $5000 in a savings account that will grow by 7% each year. How long will it take for her savings to double?
About 11 Years