Multi Choice Problems…

The finite sequence whose general term is a_n = 0.17n² – 1.02n + 6.67 where n = 1, 2, 3, …, 9 models the total operating costs, in millions of dollars, for a company from 1991 through 1999.

Find

	A. $21.58 million
	B. $27.4 million
	C. $23.28 million
	D. $29.1 million

Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first 8 terms of the geometric sequence: -8, -16, -32, -64, -128, . . . .

	A. -2003
	B. -2040
	C. -2060
	D. -2038

Find the probability. What is the probability that a card drawn from a deck of 52 cards is not a 10?

	A. 12/13
	B. 9/10
	C. 1/13
	D. 1/10

Find the common difference for the arithmetic sequence. 6, 11, 16, 21, . . .

	A. -15
	B. -5
	C. 5
	D. 15

Find the indicated sum.

	A. 28
	B. 16
	C. 70
	D. 54

Evaluate the expression.

1 –

	A.
	B.
	C.
	D.

Find the sum of the infinite geometric series, if it exists. 4 – 1 + – + . . .

	A. – 1
	B. 3
	C.
	D. does not exist

Find the probability. One digit from the number 3,151,221 is written on each of seven cards. What is the probability of drawing a card that shows 3, 1, or 5?

	A. 5/7
	B. 2/7
	C. 4/7
	D. 3/7

A game spinner has regions that are numbered 1 through 9. If the spinner is used twice, what is the probability that the first number is a 3 and the second is a 6?

	A. 1/18
	B. 1/81
	C. 1/9
	D. 2/3

Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first four terms of the geometric sequence: 2, 10, 50, . . . .

	A. 312
	B. 62
	C. 156
	D. 19

Write a formula for the general term (the nth term) of the geometric sequence.

, – , , –, . . .

	A. an = n – 1
	B. an = –  (n – 1)
	C. an = n – 1
	D. an = n – 1

Does the problem involve permutations or combinations? Do not solve. In a student government election, 7 seniors, 2 juniors, and 3 sophomores are running for election. Students elect four at-large senators. In how many ways can this be done?

	A. permutations
	B. combinations

Solve the problem. Round to the nearest hundredth of a percent if needed. 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 1100 adult male trial members. What is the probability that an adult male using the drug will experience nausea?

	A. 2.02%
	B. 1.73%
	C. 27.59%
	D. 2.18%

The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. a_n= 4n – 2

	A. arithmetic, d = -2
	B. geometric, r = 4
	C. arithmetic, d = 4
	D. neither

Evaluate the factorial expression.

	A. n + 4!
	B. 4!
	C. (n + 3)!
	D. 1

If the given sequence is a geometric sequence, find the common ratio.

, , , ,

	A.
	B. 30
	C.
	D. 4

Solve the problem. Round to the nearest dollar if needed. Looking ahead to retirement, you sign up for automatic savings in a fixed-income 401K plan that pays 5% per year compounded annually. You plan to invest $3500 at the end of each year for the next 15 years. How much will your account have in it at the end of 15 years?

	A. $77,295
	B. $75,525
	C. $76,823
	D. $73,982

Find the term indicated in the expansion.

(x – 3y)¹¹; 8th term

	A. -721,710x7y4
	B. -721,710x4y7
	C. 240,570x7y4
	D. 240,570x4y8

Find the probability. Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?

	A. 1/12
	B. 5/18
	C. 3
	D. 1/18

Does the problem involve permutations or combinations? Do not solve. A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 15 members and any member can be elected to each position? No person can hold more than one office.

	A. permutations
	B. combinations