Slope
F.O.I.L.
Solve for X
Arithmetic and
Geometric Sequences
Explicit and
Recursive Formula
100

What is the slope of a line passing through the points (2, 4) and (4, 6)?

1

100
(x + 1) (x + 2)
x2 + 3x + 2
100

Solve for x: 

x + 2 = 10

x = 8

100

Is this sequence Arithmetic, Geometric, or Neither? 

2, 6, 18, 54, 162

Geometric

100

What is the first term of this Explicit Sequence? 

An = 2n + 3

5

200
What is the slope of a line passing through the points (0, 0) and (3, 30)?
10
200
(x - 4) (x + 3)
x2 - x - 12
200

Solve for x: 

3x - 2 = 10

x = 4

200

Is this sequence Arithmetic, Geometric, or Neither? 

1, 5, 6, 9, 10

Neither

200

What are the first four terms of this Explicit Sequence? An = 4n + 1

5, 9, 13, 17

300

Is Slope "rise over run," or "run over rise?" 

rise / run

300
(2x + 1) (3x + 4)
6x2 + 11x + 4
300

Solve for x: 

2x + 3 = x - 6

x = -9

300

Is this sequence Arithmetic, Geometric, or Neither? 

3, 5, 7, 9, 11

Arithmetic

300

What is the difference between the Explicit Formula and the Recursive formula?

Explicit: substitute in the number of each term (1 for 1, 2 for 2, etc)

Recursive: substitute in the term before

400
What is the slope of a line passing through the points (3, -2) and (4, 5)?
7
400
(4x - 3) (2x + 3)
8x2 + 6x - 9
400

Solve for x: 

3x + 6 = x + 10

x = 2

400
What is the common difference? 4, 8, 12, 16, 20
4
400

What is the second term of this Recursive Sequence? A1 = 2 

An = an-1 + 2

4

500
What is the slope of a line passing through the points (-6 ,-6) and (-3, 1)?
7/3
500
(3x - 5) (3x - 4)
9x2 - 27x + 20
500

Solve for x: 

x2 - 5 = 20

x = 5

500
What is the common ratio? 4, 8, 16, 32, 64
2
500

What are the first four terms of this Recursive Sequence? 

A1= 0 

An = an-1 - 4

0, -4, -8, -12

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