Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Find the sum.
|
|
|
2.
|
Find the sum.
|
|
|
3.
|
Use a calculator to find the sum. Round to four
decimal places.
a. | 5.8579 | b. | 0.2000 | c. | 3.8579 | d. | 1.4913 | e. | 1.6913 |
|
|
|
4.
|
Determine whether the sequence is arithmetic. If
so, find the common difference.
5, 25, 125, 625,
3125
a. |  | b. | 5 | c. | not
arithmetic | d. | –5 | e. |  |
|
|
|
5.
|
Write the nth term of the arithmetic
sequence as a function of n.
|
|
|
6.
|
The first two terms of the arithmetic sequence are
given. Find the indicated term.
 
|
|
|
7.
|
Use a graphing utility to graph the first 10 terms
of the sequence. (Assume that n begins with 1.) You may need to adjust the graphing
window to the sizes indicated below to answer the question.
|
|
|
8.
|
Determine whether the sequence is geometric. If so,
find the common ratio.
–1, –3, –5,
–7,...
a. |  | b. | 2 | c. | –2 | d. | not
geometric | e. | –1 |
|
|
|
9.
|
Find the indicated nth term of the geometric
sequence.
a. | 81,920 | b. | 312,500 | c. | 62,500 | d. | 29 | e. | 20,480 |
|
|
|
10.
|
Find the indicated nth term of the geometric
sequence.
4th term: 
|
|
|
11.
|
Find the sum using the formulas for the sums of
powers of integers.
a. | –1482 | b. | –494 | c. | –374 | d. | –120 | e. | 78 |
|
|
|
12.
|
Find the specified nth term in the expansion
of the binomial. (Write the expansion in descending powers of x.)
|
|
|
13.
|
The probability that a basketball player will make
a given free throw is  . To find the probability that the player
makes exactly 9 out of her next 10 free throws, evaluate the term
in the
expansion of  . Round to four decimal places.
a. | 0.0403 | b. | 0.0010 | c. | 0.1008 | d. | 0.0605 | e. | 0.0016 |
|
|
|
14.
|
|
|
|
15.
|
A combination lock will open when the right choice
of three numbers (from 1 to 35) is selected. How many different lock combinations are
possible?
a. | 42,875 | b. | 35 | c. | 105 | d. | 128,625 | e. | 1225 |
|
|
|
16.
|
Evaluate using a graphing utility:
a. | 3,603,600 | b. | 5005 | c. | undefined | d. | 90 | e. | 360,360 |
|
|
|
17.
|
Find the number of distinguishable permutations of
the group of letters.
|
|
|
18.
|
Nine weightlifters are competing in the dead-lift
competition. In how many ways can the weightlifters finish first, second, and third (no
ties)?
|
|
|
19.
|
Solve for n.
|
|
|
20.
|
|