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Exponential Functions
Geometric Sequences
Arithmetic Sequences

Sequences
Writing Sequence Equations
100
You deposit $100 in a bank at 10% interest. How much will you have after one year?
What is $110 ?
100
In a certain region, the number of highway accidents increased by 20% each year over a four year period. How many accidents were there in 2006 if there were 5120 accidents in 2002?
What is 10,616 ?
100
Tristen is getting better at math. On his first quiz he scored 57 points, then he scores 61 and 65. If his scores continue to grow at the same rate for the next six weeks what score will he get on the 12th test?
What is 101 ?
100
What kind of sequence is this? 2, 4, 6, 8,...
What is an arithmetic sequence
100

Write the recursive equation for the following sequence:

1, 3, 5, 7...

t(n+1) = t(n) + 2

200
Y=200(.5)^0
What is 200 ?
200
You complain to Mom that the hot tub is cold and is only 75 degrees. Mom turns on the heat and says that the water will only increase temperature by 15% each hour. What will the temperature be after 4 hours?
What is 115 ?
200
The sum of the interior angles of a triangle is 180 degrees, of a quadrilateral 360 degrees, of a pentagon is 540 degrees. Assuming this pattern continues, find the sum of the interior angles of a dodecagon (12 sides)
What is 1800 ?
200
What kind of sequence is this? -2, 4, 8, -16,...
What is a geometric sequence
200
Write the recursive equation to the following sequence:


2, 4, 8, 16... 

t(n+1)= t(n)*2

300
$4.25 X 5
What is $21.25?
300
A bacteria culture doubles every 3 hours. If there are 500 bacteria at the beginning how many bacteria will there be after 24 hours?
What is 64,000 ?
300
Payton makes gift baskets for Valentines day. She she has 13 baskets left over from last year, and she plans to make 12 more each day. If there are 15 working days until the day she begins to sell the baskets, how many baskets will she have to sell?
What is 181?
300
A tennis tournament begins with 512 players. After 3 rounds how many are left playing?
What is 128 players
300

Write the explicit equation to the following sequence:

2, 4, 8, 16...

t(n)=1(2)n

400

Write an exponential function for the following situation and solve:

a bacteria doubles every hour, if you started with 3 of this bacteria, how many would you have after 4 hours?

y=3(2)n

y=48 bacteria

400
A miner discovers an ore sample that contains 1000mg of radioactive material. It is discovered that the radioactive material has a half life of 1 day. Find the amount of radioactive material in the sample at the beginning of the 8th day.
What is 7.81 mg ?
400
Find the missing term. ..., -6, ____, 8, ...
What is 1 ?
400
A sequence that is found by adding or subtracting the same amount to each successive term.
What is an arithmetic sequence.
400

Write the explicit equation for the sequence:

1, 3, 9, 12....

t(n)= ⅓(3)n

500
Find the next term in the sequence. -1, 6, -36, 216,...
What is -1296?
500
What is the next term on this geometric sequence. 1, 4/3, 16/9, 64/27, ...
What is 256/81 ?
500
Find the missing term(s). ..., -14, ___, ___, 46, ...
What is 6 and 26 ?
500
A sequence that multiplies the same amount to each successive term.
What is a geometric sequence.
500

Write the Explicit equation to the following sequence:

117, 39, 13...

t(n) = 351(⅓)n