Unit 6 Revision

Sequences Terms

100

What is an arithmetic sequence?

An ordered list of numbers with a common difference or something similar.

200

What is a geometric sequence?

A ordered list of numbers with a common ratio between each term or something similar. 

300

What is a term?

Each number in a sequence. 

400

Explain how you find the n^th term of an arithmetic sequence.

Find the common difference, multiply it by n, and then add or subtract the difference from the common difference to the first term. 

500

Explain how you find the n^th term of a geometric sequence. 

Find the common ratio, put that ratio to the power of n-1 and multiply by the first term. 

Sequences

100

Find the n^th term of this sequence: 3, 5, 7, 9...

2n + 1

200

Find the n^th term: 2, 4, 8, 16...

2(2)^n-1

300

Find the n^th term and the 20^th term: 5, 12, 19, 26...

7n - 2  

7(20) - 2 = 138

400

Find the n^th term and the 7^th term: 5, 15, 45, 135... 

5(3)^n-1

5(3)7^-1 = 5(3)⁶ =

500

Find the n^th term: 6, 11, 18, 27... 

n² + 2n + 3

Inequalities

100

What integer values are solutions to 3 < x <= 8

4, 5, 6, 7, 8

200

Solve the range for x: 2x - 5 < 11

x < 8

300

Solve the range of x: 10 - 3x > 31

x < 7

400

Solve for the range of x: 11 < 3x + 2 < 14

3 < x < 4

500

Solve for the range of x: -12 < 4 - 2x < 20

-8 < x < 4 

OR 

4 > x > -8

Graphing Inequalities

100

How do you represent "less than" or "greater than" and "less than or equal to" or "greater than of equal to"

Less/greater than: empty circle

less/greater than or equal: filled in circle

200

Describe how you would draw the inequality: x < 7

A empty circle at 7 than an arrow pointing left. 

300

Describe the how you would draw the inequality 

x => 2. 

Filled circle at 2 and then arrow to the right. 

400

Describe the drawing of the inequality -2 < x < 5

Empty circle at -2 and 5 with line connecting them. 

500

Describe how you would draw the inequality: 

4 < 2x + 2 <= 10 

A empty circle at 1 and a filled circle at 4 with a line between them. 

Equations

100

Solve: 2x + 10 = 22 

x = 6

200

3(x + 5) = 30

x = 5

300

Solve: 25 - 5x = 10x - 5

x = 2

400

Solve: (2 + x)/5 = 10

x = 48

500

Solve: x² + 1 = 65

x = 8, -8