Math 1020
Practice Test 3
Name___________________________________
Find the indicated term(s) of the given sequence.
1) The first five terms of the sequence a n =
n
(-1)
n2 - 3
2) The eighth term of the sequence a n = -6 + 4(n - 1)
3) The general term a n of the sequence 4, 2, 1,
1 1
, ,...
2 4
Find the partial sum of the given sequence.
4) S5 of the sequence a n = 3(4)n - 1
5) S20 of the sequence a n = 4 + 4(n - 1)
1
6) S of the sequence 4, - 1,
7)
4
1 ...
,
4
i(i - 5)
i=2
8)
4
i(i + 3)
i=2
Expand the binomial.
9) (5x - 5y)3
2
Solve the problem.
10) The population of a small town is growing yearly according to the sequence defined by a n = 150 + 65(n - 1),
where n is the number of the year just beginning. Predict the population at the beginning of the ninth year. Find
the town's initial population.
11) A pendulum swings through an arc 80 inches long on its first swing. Each swing thereafter, it swings only
9
as
10
far as on the previous swing. How far will it swing altogether before coming to a complete stop? If necessary,
round to the nearest inch.
12) A restaurant offers a choice of 3 salads, 10 main courses, and 4 desserts. How many possible choices for a meal
are there (including single items)?
13) How many 2-letter codes can be formed using the letters A, B, C, D, E, and F? No letter can be used more than
once.
14) From 8 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many
different committees are possible?
3
Solve the problem. Round to the nearest hundredth of a percent if needed.
15) In 1999 the stock market took big swings up and down. A survey of 1000 adult investors asked how often they
tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor
tracks his or her portfolio daily?
How frequently?
Response
Daily
234
Weekly
282
Monthly
276
Couple times a year 146
Don't track
62
Solve the problem.
16) During clinical trials of a new drug intended to reduce the risk of heart attack, the following data indicate the
occurrence of adverse reactions among 1200 adult male trial members. What is the probability that an adult
male using the drug will experience nausea?
Adverse Reaction Number
Heartburn
18
Headache
12
Dizziness
10
Urinary problems 6
Nausea
22
Abdominal pain 17
Find the probability.
17) A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble
that is not blue when one marble is drawn from the bag?
18) What is the probability that a card drawn from a deck of 52 cards is not a 2?
4
19) A bag contains 5 blue marbles, 10 green marbles, and 8 red marbles. One marble is drawn from the bag. What is
the probability that the marble drawn is not blue?
5
Answer Key
Testname: MATH 1020 PRACTICE TEST 3
1)
1
1 1
1
, 1, - ,
,2
6 13
22
2) 22
1 n-1
3) a n = 4
2
4) 1023
5) 840
16
6)
5
7) -16
8) 56
125x3 - 375x2 y + 375xy2 - 125y3
670 people; 150 people initially
800 in.
219 possible meals
30
56
23.40%
1.83%
2
17)
3
9)
10)
11)
12)
13)
14)
15)
16)
18)
12
13
19)
18
23
6