Sequence and Series
Which two type of sequences that we already covered in class? Hint: Start with an "A" and "G"
Arithmetic Sequences / Geometric Sequences
Is that the rational function form? True or False
f(x)= n(x)/d(x)
True
A logarithm is an ____
exponent
What is t for x and y, if the point is (2,3) and the functions are x=6-2t & y=9-3t?
t=2 for both functions
Which type of conic section has an eccentricity greater than one ?
Hyperbola
What are the next two terms in the sequence? Sequence is 3,5,7
The next two terms are 9,11
What is the leading coefficient?
a) the term in a polynomial which contains the highest power of the variable
b) the exponent
c) the coefficient of the first term of a polynomial in standard form
c) the coefficient of the first term of a polynomial in standard form
Rewrite in exponential form
log11121= 2
112= 121
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
24 minutes
The eccentricity of a conic section is denoted by the letter e. What type of conic section has e>1?
Parabola
Write the first five terms of the sequence.
an= 8 + 13
21, 34, 47, 60, 73,...
Converting form
f(x)= 4/(x-1)2+6
6x^2-12x+10/ x2 -2x+1
Anything raised to the zero power is what?
Equal 1
How many ounces of 30% acid solution should be mixed with 40 ounces of 2% acid solution to make 5% acid solution?
4.8 ounces
The eccentricity of a conic section is denoted by the letter e. What type of conic section has e>1?
Write a recursive sequence that represents the sequence defined by the following explicit formula:
an= -1+9n
a1=?
an=?
Find first three terms:
a1=−1+9(1)=8−1+9(1)=8
a2=−1+9(2)=17−1+9(2)=17
a3=−1+9(3)=26−1+9(3)=26
a1=8, an=an-1+9
Identify the name of the polynomial function
f(x)= 2x2+4x3+3x+5
a. Cubic function
b. Quadratic function
c. Linear function
A. Cubic function
Use the logarithm laws to simplify the following
log3 9xy2 - log3 27xy
log3 y − 1
Simplify The Expression
(6/(x-1))-(5x/4)
(24-5x^2+5x)/(4(x-1))
Find the area enclosed by the polar curve
r=4sinθ and the limits θ=0 and θ=π/5
0.611
Find the missing terms in the arithmetic sequence
1, __, __, __, 29,...
a. 7, 15, 23
b. -8, 15, -22
c. 8, 15, 22
d. 3, 9, 27
Answer: c. 8, 15, 22
x=0, 25, -25
Change to exponential form.
loga2 = 5
a⁵=2
Find the amounts of 20% salt solution and 8% salt solution that should be mixed together to make 500 ml of 15% salt solution.
291.67 ml of 20% salt solution,
208.33 ml of 8% salt solution
Select the correct polar equation for a conic with e=2/5 and directrix at x=2
r= 4/5+2cosθ