Definitions
Define Arithmetic Sequence
A sequence where to get to the next term you add or subtract
Define common difference
What you add or subtract to get the next number in an arithmetic sequence
Define geometric sequence
a sequence where you multiply or divide to get to the next term
What type of equation is this:
y=3x+4
explicit Arithmetic
What is Ms. Kollath's favorite holiday?
halloween
Define Common Ratio
The multiplier in a geometric sequence
What is the common difference in the following sequence:
1, 4, 7, 11...
+3
What's the common ratio in the following equation:
y=10(4)x
4
What type of sequence is this:
1, 3, 9, 27...
geometric
What show does Ms. Kollath like to watch?
Survivor
Relates an input to an output, like y=mx+b or y=ab^x
What is the zero term for the following sequence:
28, 37, 46, 55...
19
Find the next 3 terms in the sequence:
f(1)=4
y= an-1 *0.5
2, 1, .5
What type of equation is this:
y= an-1 *5
Recursive geometric
What is one of Ms Kollath's Pet peeve's?
Standing by the door
Define recursive equation
The relationship between one term to the next. Previous to get to the next term
Make an explicit equation for the following sequence if f(1)= 19 and the common difference is -5
y=-5x+25
Make a recursive equation for the following sequence:
8, 80, 800, 8000...
y=an-1 *10
Claire has 300 dollars in her account, she spends half of it every month. Theoretically, will her bank account ever empty. Explain
No, there will always be half remaining even if it's a very small half
How many countries has Ms Kollath been to?
Three, four if you count Canada
Define Prime Number
A number that can only be divided by itself and one.
Make the recursive equation for the following sequence (8 is the first term):
8, 11, 14, 17...
y=an-1 +3
Make an explicit equation for the following sequence:
(first term is 150)
150, 75, 37.5...
y=300(.5)x
Write an explicit equation for the following story:
Ms. K likes to crochet and noticed that to make a circle she starts with 8 stitches and the next row has 16 stitches, the next has 24 and so on.
y=8x+8
What is Ms Kollath doing this weekend?
Going to a wedding/ visiting home