Sequences & Series
What kind of sequence is the following list of numbers?
2, -1, -4, -7
Arithmetic Sequence
x0=_
1
In standard form of a quadratic equation, ax2+bx+c, what does "c" represent?
y-intercept
Who is Ms. Marino's favorite Marvel character?
a) Tony Stark
b) Captain America
c) Thor
d) Hulk
b) Captain America
What kind of sequence is the following list of numbers?
2, -4, 8, -16
Geometric Sequence
The solution to a log function can also be represented as an ____
Exponent
What are the x-intercepts of the following equation?
y=(2x-6)(x+5)
(3,0)(5,0)
Who is Ms. Marino's favorite Harry Potter Character?
a) Hermione
b) Severus Snape
c) Sirius Black
d) Dobby
d) Dobby
What is the common ratio of the following sequence?
-16, 8, -4, 2
-0.5
When multiplying two expressions with the same base, what can we do to the exponents in order to write it as an equivalent expression with the original base?
Add the exponents
What is the vertex of the following quadratic equation?
y=5(x+6)2-5
(-6, -5)
At what age did Ms. Hyden learn how to ride a bike?
18
Write an equation to represent the following sequence:
-16, 8, -4, 2
an=-16(-0.5)n-1
or
an=an-1*(-0.5); a1=-16
Simplify the following expression:
log5(625)
4
What is the equation we use to find the roots when using the "quadratic formula"? Ms. Marino/Ms. Hyden will add 10 points to your homework for this week if you sing the song.
"x equals negative b plus or minus the square root of b2 - 4ac all over 2a"
x=(-b +/- sqrt(b2-4ac))/2a
Which Hogwarts House is Ms. Marino in?
Trick question - Gryffindor or Ravenclaw
Would the answer to the following situation be represented by an arithmetic or geometric sequence or series?
The total amount of money the average American is expected to have made in total during their first 15 years of working out of college with an increase of 6% per year.
Geometric Series
If log(6)=a, how can you express log(360) in terms of a?
2a+1
Determine whether or not the graph of the following equation has any x-intercepts using the information given by vertex form.
y=-3(x+2)2-5
It has no x-intercepts. Since a = -3 < 0, it is concave down and the maximum of the graph or y-value of the vertex (-5) is negative.
Who was Ms. Hyden's top artist on Spotify Wrapped 2021?