Find the Explicit/Recursive
Is there a common difference or ratio and what is it?
-8, -17, -26, -35
difference = -9
Find the missing terms for the following sequence:
17, _____, 27
22
Bob saves $20 every month in a savings account that pays an interest rate of 4% monthly. What is the explicit equation to find the amount of money after x months?
f(x)=20(1.04^x)
f(x)=2(x-1)+2
f(x)=f(x-1)+2; f(1)=2
Who is the boss in the hit comedy "The Office"?
Micheal Scott
222, 111, 55.5, 27.75
ratio = 1/2
Find the missing terms for the following sequence:
17, ____, ____, ____, 109
40, 63, 86
Petunia heard everybody raving about the new iPhone. She just had to have it, so she bought it for $950. The value of this phone decreases at a rate of 3% yearly after the first year. What is the explicit equation for this scenario?
f(x)=950(.97^x)
f(x)=f(x-1)+15; f(0)=1
f(x)=15x+1
What monument in DC used to be the tallest structure in the world?
Washington Monument
What is explicit and recursive equation for the following function sequence:
15, 18, 21, 24
f(x)=3(x-1)+15
f(x)=f(x-1)+3; f(1)=15
-15, ____, ____, ____, -51
-24, -33, -42
The first term in a sequence is 14. The sequence decreases by 22% each term. Write the recursive function for this situation. What is the 21st term in the sequence (round to the thousandths)?
f(x)=f(x-1)x0.88; f(1)=14
1.086
f(x)=3(2^x)
f(x)=f(x-1)x2; f(1)=3
What is Paprika made of?
Bell pepper or chilli peppers
What is the recursive and explicit equation for the graph on the lesson slides?
Start at term 1!
f(x)=1/8(4^x-1) or f(x)=0.125(4^x-1)
f(x)=f(x-1)x4; f(1)=1/8 or
f(x)=f(x-1)x4; f(1)=0.125
-14, ____, ____, ____, -1134
-42, -126, -378
and
42, -126, 378
Mrs. Cremer took a vacation from school and visited an island with a population of 1500 islanders. This tropical island is growing at a rate of 3% yearly. What will the population be after 7 years?
1844 islanders
f(x)=f(x-1)x1/4; f(2)=246
f(x)=246(1/4^x-2)
How many gallons of milk does a cow produce within a day?
6 galloons
Determine the explicit and recursive equation for the following sequence on the lesson slides. *Use the perimeter not the number of figures
Create a table to help!
f(x)=8(x-1)+6
f(x)=f(x-1)+8; f(1)=6
40/27, _____, _____, ______, ______, 45/4
20/9, 10/3, 5, 15/2
Grogu got tired of Mando's flying and wanted to get his own ride. He forgot what the original cost was, but knew that after the first year, the cruiser was apprised for 48,000 credits. Over the years, the value of the cruiser will decrease by 14% each year. Find the value of Grogu's cruiser after 7 years.
19,419.23 credits
f(x)=5(6^x-4)
f(x)=f(x-1)x6; f(4)=5
What Winter Olympic sport contains this terminology:
cowling, chicane, brakeman, and labyrinth
Bobsled