Geometric Sequences
this variable is our Pattern, or RATIO
r
the amount left over after doing long division
remainder
this method of proving an identity involves plugging in numbers, and is easier to use for proving something is NOT an identity
Testing Values
This is a dotted line that a graph approaches but never touches
Asymptote
This is the name for a function that has a variable in the denominator
Rational Function
This variable describes our initial starting value
a
the result after doing long division
quotient
This method of proving an identity involves using methods to expand and simplify polynomials
Distributive property
This type of asymptote runs parallel to the y - axis
Vertical Asymptote
This method can help me solve for x when I have two rational functions set equal to each other
Butterfly method/Cross multiply
this variable represents an iteration of a series/how many days, months, years, etc.
n
when you divide two variables with different exponents, what must you do to the exponents?
This is a useful tool for completing the distributive property (we've done this a lot in class!)
Box method
This type of asymptote runs parallel to the x-axis
Horizontal Asymptote
What step would I do to isolate the variable x in the following equation:
x - 5 = 0
add 5 to both sides
which of the equations is the correct one for describing geometric sequences?
1. s = a(1-rn)/(1-r)
2. a(rn-1)/(r-1)
1. s = a(1-rn)/(1-r)
True or False: the Smaller (fewer amount of terms) of the two polynomials goes on the inside of the division symbol.
FALSE - it always goes on the outside
This method is guaranteed to tell you whether or not you have an identity.
Distributive property
True or False: A graph with an asymptote will eventually cross this asymptote
FALSE
What step would I do to isolate the variable x in the following equation:
5x = 10
Divide by 5 on both sides
True or False: The following formula is ANOTHER way to describe geometric series:
s = a(1 + r + r2 + ... + rn-1)
TRUE
when writing our final answer, we must use the format of:
quotient + remainder/ ??
What must we divide our remainder by in our final answer?
the smaller polynomial
True or false: I can test every number to prove something is an identity
FALSE
True or False: A horizontal asymptote on the y - axis can also be written as x = 0
TRUE
What step would I do to isolate the variable h in the following equation:
V = w2h
Divide by w2