Series & Sequences
What is the next term in the sequence?
99, -33, 11, ____
-11/3 or -3.67
What is cosine of 90 degrees?
0
Find the slope between the two points (1, -4) and (-3, 2).
m= -3/2
What is the vertex of the equation
y=-2(x-2)2+3
(2,3)
Given the equation, what is the horizontal asymptote
y=3x+1-2
y=-2
What is the 7th term in the sequence?
56, 73, 90, . . .
158
What is sine of 270 degrees?
-1
The slope of a line is 2/3 and it passes through the point (9,1). Write the equation of a line.
Hint: y=mx+b
y=2/3x - 5
Find the axis of symmetry
y=2x2+8x+7
x= -b/2a = -2
Given the equation, what is the vertical asymptote?
y=-2log5(x-2)+1
x=2
What is the difference between an arithmetic sequence and a geometric sequence?
Arithmetic is adding/subtracting by the same #, geometric is multiplying by the same #
At what degrees is sine theta = sqrt(3)/2
60 degrees, 120 degrees
Given f(x)=x2-3x+10, Evaluate f(-1)
f(-1)=14
State if the equation has a maximum of minimum
y=-2x2+7x-3
It is the inverse of an exponential function
Find the sum of the first 15 terms in this sequence
11, 8, 5, 2, ...
-150
In transformations of graphs, describe what amplitude and period mean.
period: the time is takes for a wave to complete one full cycle
amplitude: the distance from the peak or trough of a wave to the center
Given f(x)= 4x+3 and g(x)=x-1
Solve for (f(g(x))
4x-1
Is this a polynomial? Why or why not?
3x-1
No, negative exponent
Simplify log22+log28
log216
Find the sum of this infinite sequence
24, 6, 3/2, ...
32
y=-3sin(2theta) -5
What is the amplitude
3
Find the domain of f(x)= sqrt(4x+12)
x>= -3
Simplify
(2i-4)-(5i+2)
-3i-6
Simplify
(3x3y-4)2/(6x3y-3)
3x3/2y5