Number Sequence
List the next 3 terms in the sequence below.
4, 15, 26, 37, ...
... 48, 59, 70
a. What is the formula for the general term of an arithmetic sequence?
b. What is the formula for the general term of a geometric sequence?
a. Tn=T1+d(n-1) or Tn=T1+(n-1)d
b. Tn=T1(r)n-1
What quadrant are the following points located?
a. (-2,4)
b. (1,-3)
c. (5,5)
d. (-6,-8)
a. Quadrant 2
b. Quadrant 4
c. Quadrant 1
d. Quadrant 3
Given the equation, y = 1/2x + 3, find the value of y when x is 8. Write your answer as a solution to the graph. (ordered pair)
(8,7)
What is the next term in the sequence?
2, 4, 16, 256, _____
65,536 or 65536
Find the general term of the sequence below. SIMPLIFY
5, 9, 13, 17, 21, ...
Tn=4n+1
Write an ordered pair based on the descriptions below.
a. 3 right, 2 down
b. 4 up, 3 left
c. 0 right, 1 down
a. (3, -2)
b. (-3, 4)
c. (0, -1)
Convert the following equation to Slope-Intercept Form
-8x + 4y = 16
y = 2x + 4
What is the next term in the sequence?
6, 7, 10, 15, 22, ...
31
Find the general term of the sequence below.
2, 12, 72, 432, ...
Tn=2(6)n-1
The _________ coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes of the system.
Cartesian
List 2 solutions to the linear equation below.
y = 3x + 9
Answers vary.
What is the 7th term of this sequence?
3, -6, 12, -24, ...
+192
Using the general term, find the 25th term of the sequence?
10, 17, 24, 31, ...
The 25th term is 178
The points A(-2,1), B(-2,-3) and C(3,1) are plotted on a coordinate plane. If you were to connect each point to form a triangle, what would be the area?
10 units2
An unknown equation has the following solutions:
(-2,1) (0,2) (2,3) (4,4)
What is the equation of the line?
y = 1/2x + 2