Sequences Terms
What is an arithmetic sequence?
An ordered list of numbers with a common difference or something similar.
Find the nth term of this sequence: 3, 5, 7, 9...
2n + 1
What integer values are solutions to 3 < x <= 8
4, 5, 6, 7, 8
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
x = 6
What is a geometric sequence?
A ordered list of numbers with a common ratio between each term or something similar.
Find the nth term: 2, 4, 8, 16...
2(2)n-1
Solve the range for x: 2x - 5 < 11
x < 8
Describe how you would draw the inequality: x < 7
A empty circle at 7 than an arrow pointing left.
3(x + 5) = 30
x = 5
What is a term?
Each number in a sequence.
Find the nth term and the 20th term: 5, 12, 19, 26...
7n - 2
7(20) - 2 = 138
Solve the range of x: 10 - 3x > 31
x < 7
Describe the how you would draw the inequality
x => 2.
Filled circle at 2 and then arrow to the right.
Solve: 25 - 5x = 10x - 5
x = 2
Explain how you find the nth 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.
Find the nth term and the 7th term: 5, 15, 45, 135...
5(3)n-1
5(3)7-1 = 5(3)6 =
Solve for the range of x: 11 < 3x + 2 < 14
3 < x < 4
Describe the drawing of the inequality -2 < x < 5
Empty circle at -2 and 5 with line connecting them.
Solve: (2 + x)/5 = 10
x = 48
Explain how you find the nth term of a geometric sequence.
Find the nth term: 6, 11, 18, 27...
n2 + 2n + 3
Solve for the range of x: -12 < 4 - 2x < 20
-8 < x < 4
OR
4 > x > -8
Describe how you would draw the inequality:
4 < 2x + 2 <= 10
Solve: x2 + 1 = 65
x = 8, -8