Sequences & Series
A sequence is given by an = 4(n - 1)5. What is a1?
a1 = 4
What is tan(45°) of a 45-45-90 triangle?
tan(45°) = 1
Sean is choosing new uniforms for the baseball team. Pants come in 3 styles, shirts in 5 styles, and caps in 4 styles. In how many different ways can a three-piece uniform be chosen?
A three-piece uniform can be chosen in 60 different ways.
A jar contains 50 red marbles, 20 white marbles, and 30 blue marbles. You pick one marble from the jar at random. What is the probability that you choose a red marble?
P(red) = ½
Find the mode of these values: 3.4, 4.1, 3.5, 3.7, 2.8, 5.2, 2.6
none
Write the equation for 1, 4, 7, 10, 13, ...
an = an-1 + 3
What is sec(30°) of a 30-60-90 triangle?
sec(30°) = 2√(3)/3
How many 5-digit numbers can be formed using all the digits 0, 1, 2, 3, 4 without repetition?
5! = 120
Each of the numbers 1 through 10 are written on a card and placed in a bag. The bag is shaken, and one card is drawn at random. What is the sample space?
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Find the mean of these values: 97, 95, 98, 93, 89, 92, 95, 64, 88
90.1
Find the sum of 1/3 - 1/9 + 1/27 - 1/81 + ...
S = 1/4
Convert 85° to radians.
85° = 17π/36
How many combinations of four can you make from a set of 25 baseball cards?
25C4 = 12,650
In a class of 150 students, 95 are taking math, 76 are taking science, and 53 are taking both math and science. One student is picked at random. What is the probability that the student is not taking math?
P(not taking math) = 11/30
Find the median of these values: 97, 95, 98, 93, 89, 92, 95, 64, 88
93
Find the sum of 4 + 9 + 14 + 19 + 24 + ... + 99.
S20 = 1030
Convert π/2 radians to degrees.
π/2 radians = 90°
Suppose you are arranging art paintings at an art show. You have 7 paintings to hang and 3 vacant locations that will hang one picture. In how many ways can the 3 vacant locations be filled by your available artwork?
7P3 = 210
A drawer contains 10 white socks and 6 blue socks. Caleb reaches in the drawer without looking and selects 2 socks. What is the probability that he selects no blue socks?
P(white and white) = 5/8
Find the value at the 30th percentile for: 7, 12, 3, 14, 17, 20, 5, 3, 17, 4, 13, 2, 15, 9, 15, 18, 16, 9, 1, 6
5
Find the sum of 3 + 6 + 12 + 24 + ... + 1536.
S10 = 3069
What is the range of y = 2cos(½t)?
[-2,2]
On a 12-question test, students must answer 6 questions of the first 8. Then 3 questions of the last 4 must be answered. In how many ways can this be done?
8C6 • 4C3 = 112
A vending machine offers 10 different drinks. One day, 5 employees each purchased a drink from the machine. Find the probability that at least two employees purchased the same drink.
P(≥2 had the same) = 0.6976
Find the mean of these values when the outlier is not included: 947, 757, 103, 619, 661, 582, 626, 900, 869, 728, 1001, 596, 515
733.4