Teacher's Corner
Vocabulary and Formulas
Geometric Sequences
Radical and Rational Exponents/Exponential functions
Exponential Functions
100
Why are elevator jokes so classic and good?
They work on many level
100
The name for this symbol
sqrt
Square Root / Root
100
1,3,9,27......... what is the next term in the sequence
81
100
Write the radical in exponential form.
sqrt(19)
19^(1/2)
100
State whether the equation represents exponential growth, decay, or neithery
y= 6(.98)^x
Exponential Decay
200
Where do math teachers go on vacation?
Time Square
200
The answer to the following rule
z^0
1
200
Find the 20th term of the arithmetic sequence
9, 16, 23, 30,..... using the formula.
What is 142.
200
Write the radical in exponential form.
root(4)(63)
63^(1/4)
200
The Number of Students enrolled at a college is 12,500 and decreases 7% each year
What is the initial Value, constant rate, and the exponential Function?
12,500
.93
f(x)=12500(.93)^x
300
A man buys a horse for $60. He sells it for $70. Then he buys it back for $80 and sells it again for $90. How much money did he make?
$20 Dollars
300
What is the formula for the Explicit formula of a geometric sequence?
What is An = A1 (r)^n-1
300
Determine whether the sequence is a geometric sequence... and what is the common ratio?
120, -60, 30, -15...
yes, r=-1/2 or -0.5
300
Write the rational expression in radical form.
a^(3/4)
root(4)(a^3)
300
A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour. Is this problem a demonstration of growth or decay?
Growth
400
How do eight eights add up to one thousand?
888+88+8+8+8=1000
400
What is the standard form of an exponential function?
f(x) = a(b)x
400
Given the geometric sequence: -1, -4, -16... Find a10
-262,144
400
The population of a town is 25,000. It decreases at a rate 7% per year. In about how many years will the population be fewer than 16,000.
7th year
400
What's the growth factor? Common rate
B= 2
500
What 3-digit number has the following properties: the second digit is four times the third, and the first digit is three less than the second?
141
500
How do you find the common ratio of a given geometric sequence?
By dividing each term by it's previous term. divide by your second and first term
500
Find the 15th term:
-7, 21, -63...
-33,480,783
500
The percent rate of growth for the following exponential equation
y=6(1.29)^t
0.29 or 29%