Definitions
Sequences
Explicit Equations
Word Problems
PEMDAS and Other
100
What is a term?
The n of an explicit equation, it is the ordered numbers given to the values of a sequence. Ex. Term 1,2,3,4,5
100
2,4,6,8,10
What is the 10th Term?
18
100
2+6(n-1)
What is the first term?
2
100
Mr Stanley went apple picking. He started with 10 apples in his basket. Every tree he picked 3 more apples and added them to his basket. How many apples are in his basket after he picked from 12 trees
46 apples
100
What is PEMDAS?
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
200
What is a Term Value?
A term Value is the value obtained from an explicit equation when you plug in the term. It is the value of a term number and the value increases or decreases by the common difference or common ratio?
200
3 9 27 81
What is the 8th Term?
6561
200
2+6 (n-1)
What is the Common Difference?
6
200
Days 1 2 3 4 5
______________
Cells 1
The Cells split into thirds every single day. Complete the table
Days 1 2 3 4 5
_________________
Cells 1 3 9 27 81
200
4 + 3 (x - 2) where X is 4?
10
300
What is a Common Difference?
The amount a Arithmetic Sequence increases or decreases every term
300
18, 13, 8, 3
What is the Common Difference, 1st term, and 10th term?
a1 = 18
a10 = -27
Common Difference is -5
300
2+ 6(n-1)
What is the 8th Term?
a8 = 44
300
A shipping crate will be loaded with packages that each weigh 40 pounds. The crate itself weighs 1000 pounds. The shipping company must keep a record of the weight of the crate once filled. If a crate can hold 12 packages. How much will 2 crates weigh?
2960
300
3rd Term is 9
6th Term is 18
What is the First Term of this Arithmetic Sequence?
3
400
What is a Common Ratio?
The amount a Geometric Sequence is multiplied by every term
400
What type of Sequence is this?
What is the Common Difference or Common Ratio?
448, 112, 28
Geometric
Common Ratio 1/4
400
12, 15, 18, 21
What is the Explicit Equation?
12 + 3(n-1) or 9 + 3n
400
Look at the pattern below
What is the Explicit Equation
1+7n or 8 + 7 (n-1)
400
2(x−4)+2(7x−1)
What is the simplified version of this equation?
16x−10
500
What is an Explicit Rule?
A explicit rule has the general form of the pattern so you can find any term in the sequence. - Usually written in terms of n, where n is the term number
500
81, 27, 9, 3, 1
What is the Common Ratio and the 7th Term?
Common Ratio is 1/3
a7 = 1/9
500
10, 6, 2, -2
What is the Explicit Equation?
10 - 4(n-1) or 14 - 4n
500
Double Points
There are 100 bananas at a grocery store, every single day 10 bananas are bought. Represent the sequence in 2 different ways.
Show on the Board
500
third term is 40
fifth term is 360
What is the 1st term of this Geometric Sequence?
40/9 or 4.444444444