Algebra II / Mr. Hansen 4/7/2006

Name: ______F period KEY______ (10 pts.)

Test on Chapter 11: Sequences, Series, Binomial Theorem

Time limit: 26 minutes. A calculator is required.
Each problem is worth 3 points. There is no partial credit. Write the capital letter of the
best choice, or fill in the word or phrase that best fits each blank.

	Class statistics: n = 7 s = 13.6 (standard deviation) median = 76 low score = 47 high score = 84
1.	D
2.	E
3.	B
4.	C
5.	A
6.	C
7.	A
8.	d [must be lower case for credit]
9.	|r| < 1
10.	4/3 by the infinite sum formula
11.	DNE
12.	B
13.	E
14.	plug-ins [or substitutions]
15.	units
16.	tn = t1 + (n – 1)d
17.	t741 = 55 + 480(–11)    [Note: The –11 must be enclosed within parentheses to earn full credit.]
18.	= –5225
19.	[Note: This is the only valid formula that qualifies for points.]
20.	Since we want , plug in values to get > 9.99995.
21.	Use guess-and-check to find n, or solve the inequality above for n to get answer: n ³ 18. Here are the details:
22.	C
23.	E [coefficient should be 84, not 126]
24.	C
25.	B
26.	D
27.	5 + 7 + 9 + . . .
28.	Sn = n(t1 + tn)/2
29.	S200 = 200(5 + 403)/2 = 200(408)/2 = 100(408)
30.	= 40,800 Note: While it is true that the instruction “. . . and then compute the sum” could conceivably be interpreted to mean 5 + 7 + 9 = 21, this interpretation is inconsistent with the later instruction to “show all three components of your proper work.” Surely it is not reasonable that 9 points (problems 28, 29, and 30) would be set aside for adding 5 + 7 + 9 after you had already listed them in problem #27. Therefore, students who merely added 5 + 7 + 9 earned half of the 12 total points available in this section. On Monday’s test, I will make the instructions clearer if there is a question of this type.