Geometric & Arithmetic Series
Sequences
Exponents and logarithms
Inverse Functions
Exponent Rules
100
Does this series converge or diverge? 6+9+13.5+⋯
Diverge
100
Find the 5th term of the sequence. A(n) = -3(-2)^n-1
What is -48
100
The base of the common log.
What is 10?
100
The graphs of inverses are reflected across this line.
What y=x.
100
c^3 * v^9 * c^-1 * c^0
c^2 * v^9
200
Find the sum for the series below with the given number of terms: 4+12+36+⋯;n=6
1456
200
What is the common ratio... 5, -10, 20, -40, ...
-2
200
9^(2x)=27
(3/4) or 0.75
200
The inverse of the relation y=3x-2
What is y= (x+2)/3?
200
The property that says, for any real numbers, a^m x a^n = a^m+n
What is product of powers?
300
A new shoe company sold $10,000 worth of product in their first month. They believe they will increase sales by 15% each month over their first year. If this increase does occur what will be the total sales for the company in their first year?
$290,016.67
300
Write the rule for finding the 10th term when the first term is -6 and the common ratio is 2. Then find the term
What is A(n) = -6 x 2^n-1 and -3072
300
When log x + log y are combined they become this.
What is log(xy)?
300
The inverse of the relation y= (3x-4)^2
What is y= (4 + x^(1/2))/3
300
(-3q^-1)^3 * q^2
What is (-27)/q
400
Cans are stacked in a display of rows with 1 can in the top row, 4 cans in the second row, 7 cans in the third row and so on. If there are 25 cans in the bottom row, how many cans total are there in the display?
117 cans
400
These are the missing terms in the arithmetic sequence 4, ___, ____, 13
7 and 10
400
This is an exponential function in form y=ab^x with initial value (0, 4) that passes through the point (2, 36).
What is y=4(3)^x ?
400
This is the invers function of y=5^x
lob, base 5, of x equals y.
400
2y^-9 * (2y^0 * h^-4)^-6
What is (h^24)/(32y^9)
500
Find the sum of the following sequence: 3, 12, 21, 30, ... , 201
Find the sum of the following sequence: 3, 12, 21, 30, ... , 201
500
Cans are stacked in a display of 25 rows with 1 can in the top row, 3 cans in the second row, 5 cans in the third row and so on. How many cans are in the 12th row?
23 cans
500
2logx=2
10
500
This is how many years it will take to double your money in an investment account that earns 5.5% interest compounded annually if you invest an initial amount of $500.
About 13 years
500
(NO CALCULATOR) The value of (9x^x)^(3/2)
What is 27x^3?
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