Trig Applications
Sequences
Series
Functions 1
Functions 2
100
In triangle PQR, p equals
(2)
(r sinP)/sinR
100
What is the formula for the nth term of the sequence B shown below?
B=10, 12, 14, 16, ...
b_n=8+2n
100
An infinite geometric series has a first term of -4 and a common ratio of 1/3. Evaluate the series.
-6
100
What is the range of the function shown below in interval notation? 
(-infty,0]
100
If f(x) = x2-5 and g(x)=6x, then g(f(x)) is equal to?
6x^2-30
200
In triangle ABC, a = 3, b = 5, and c = 7. What is the measure of angle C?
120
200
What is the common ratio of the sequence
1/64a^5b^3, -3/32a^3b^4, 9/16ab^5, ...?
(-6b)/a^2
200
When will an infinite geometric series have a sum?
If the common ratio is 0<r<1
200
Which graph represents a one-to-one function? 
(3)
200
The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point on the graph of the equation y = f(x) + 5?
(-1, 2)
300
A ranch in the Australian Outback is shaped like triangle ACE, with the following given information. Find the area of the ranch to the nearest square mile.
mangleA=42, mangleE=103, and AC=15 miles
44
300
What is the fifteenth term in the sequence 5, -10, 20, -40, 80, ...?
81,920
300
The sum of the first eight terms of the series 3 - 12 + 48 - 192 + ... is
-39,321
300
A is subtracted from B. What is the result?
A=3/2x^2-1/4x-4
B=5/2x^2-3/4x+1
x^2-1/2x+5
300
If g(x)=0.5x+8 and h(x)=0.5x-2, what is the value of g(h(-8))?
5
400
In triangle ABC, angle A = 74, a= 59.2, and c = 60.3. What are the two possible values for angle C, to the nearest tenth?
78.3 and 101.7
400
Write a recursive formula for the sequence 189, 63, 21, 7, ...
a_1=189
a_n=a_(n-1)(1/3)
400
The expression below is equal to
4+sum_(k=2)^5 3(k-x)
46-12x
400
Given the function below, what is its horizontal and/or slant asymptote?
f(x)=frac(4x^3-5x^2+8x-5)(2x^2 -4x+3)
Slant:
y=2x+3/2
400
For the function below, what are the domain and range?
y=3/sqrt(x-4)
Domain: x>4
Range: y>0
500
Two sides of a parallelogram measure 27cm and 32cm. The included angle measures 48 degrees. Find the length of the longer diagonal of the parallelogram to the nearest centimeter.
54
500
What is the difference between an arithmetic and a geometric sequence?
An arithmetic sequence adds or subtracts the same number for each successive term, while a geometric sequence multiplies the same number for each successive term.
500
Determine the number of terms n in the arithmetic series with
a_1=-5, d=2, and S_n=91
n=13
500
Identify the hole(s) and/or vertical asymptote(s) of the function below.
f(x)=(3x^2-5x-28)/(2x^2-3x-20)
Hole: (4, 19/13)
VA: x=-5/2
500
The two relations shown below are not functions. Explain how you could change each one so they they each become a function.
Answers will vary.