Chapter 11 Post Test

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Select the first five terms of the sequence. (Assume that n begins with 1.)

a.
b.
c.
d.
e.

Find the sum.

a.	150
b.	300
c.	210
d.	270
e.	330

Write the first five terms of the sequence. Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that n begins with 1.)

a.	Arithmetic sequence
b.	Arithmetic sequence
c.	Arithmetic sequence
d.	Arithmetic sequence
e.	Arithmetic sequence

Write the first five terms of the arithmetic sequence defined recursively.

a.
b.
c.
d.
e.

The first two terms of the arithmetic sequence are given. Find the missing term.

a.
b.
c.
d.
e.

Write the nth term of the arithmetic sequence as a function of n.

a.
b.
c.
d.
e.

Find the sum of the infinite geometric series.

a.
b.
c.
d.
e.

Match the geometric sequence with its graph from the choices below.

a.		d.
b.		e.
c.

Find

for the given

a.
b.
c.
d.
e.

10.

Find the sum using the formulas for the sums of powers of integers.

a.
b.
c.
d.
e.

11.

Find the sum using the formulas for the sums of powers of integers.

a.
b.
c.
d.
e.

12.

Evaluate using Pascal's triangle.

a.
b.
c.
d.
e.

13.

In how many ways can an eight-question true-false exam be answered? (Assume that no questions are omitted.)

a.	266
b.	256
c.	261
d.	246
e.	251

14.

Evaluate

a.	138,556,440
b.	1,294,920
c.	122,391,522
d.	14,686,982,640
e.	1,542,133,177,200

15.

Five sprinters have qualified for the finals in the 100-meter dash at the NCAA national track meet. In how many ways can the sprinters come in first, second, and third? (Assume there are no ties.)

a.	210
b.	110
c.	160
d.	60
e.	260

16.

Evaluate

using the formula from this section.

a.	30
b.	36
c.	15
d.	28
e.	21

17.

Find the number of distinguishable permutations of the group of letters.

a.
b.
c.
d.
e.

18.

Find the probability for the experiment of tossing a coin

times. Use the sample space

The probability of getting at least two heads.

a.
b.
c.
d.
e.

19.

The educational attainment of a country population age 25 years or older in 2007 is shown in the circle graph. Use the fact that the population of people 25 years or older was
approximately 9.6 million in 2007 and let

, and

. Find the probability that a person 25 years or older selected at random has earned a Bachelor’s degree or higher.

a.	3.269
b.	2.269
c.	4.269
d.	0.269
e.	1.269

20.

You are given the probability that an event will not happen. Find the probability that the event will happen.

a.
b.	1
c.
d.	0
e.