Sequence and Series
Determine if the sequence is arithmetic or geometric and determine the common difference/ratio in simplest form.
1, 7, 49
Final Solution: This is a geometric sequence and the common ratio is equal to 7.
Simplify the expression:
42-6x/ 3x-21
Final Solution= -2
Express the fraction in its simplest form:
5c6/ (4c3)4
Final Solution: 5/ 256c6
The cost of renting a car for one day is $40.00 plus $0.20 per mile driven. Write a function that represents the cost in dollars (C) of renting a car for x miles.
Final Solution: c(x)= 40+0.20x
Final Solution: 9
Find the 6th term of the following sequence:
13, 26, 52
Final solution: 4161
Find all of the values of x for which the rational expression is undefined.
x2-6x+8/ x-3
Final Solution: x=3
Solve for the value of x:
log6(4x)+log6(9)=3
Final Solution: x=6
You can predict expected growth with the application of functions. True or False?
Final Solution: True
A two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. Is this polar or conic?
Final Solution: Conic
Which recursive sequence would produce the sequence:
2, 9, 44...?
Final Solution (a1=2): a=5an-1-1
What type of polynomial, how many terms, what is the constant term, what is the leading term, and the leading coefficient of this polynomial? :
-2x-8
The expression represents a linear polynomial with two terms. The constant term is -8, the leading term is -2x, and the leading coefficient is -2.
Solve for x:
216x+1=363x-3
Final Solution: x=3
Someone has $40.00 to spend on some refreshments for themselves and for their friends at the movies.
The equation 5x+2y=40 describes the number of a large popcorn, x, and small drinks, y she can buy. Graph the function and find the intercepts.
What does the intercept represent?
What does the x-intercept represent?
Name two possible combinations of large popcorn and small drinks she can buy.
x-intercept= (8,0) It represents the number of popcorn bought without buying any small drinks.
Two other possible combinations are: 1
-5 drinks & 2 popcorns
-10 drinks & 4 popcorns
-5 drinks & 6 popcorns
What is the rate of change of the y-coordinate with respect to 0 at the point where 0=π(pi)? (let r be the polar function r(0)=50-1)
Final Solution: 1-5π