# Hobart & William Smith Colleges Sequence Given Buy the Formula Exam

Description

I need help answering the following multiple choice questions!!! I need to raise my grades ASAP. Thank you for your help.

x Brook Singleton’s Home Pa X ALG II B 2522: Sequence X
+ V
х
0
Lesson 7: Sequences and Series Unit Test
ALG II B 2522 Unit 5: Sequences and Series
Assessment
1. What are the first five terms of the sequence given by the formula an= 4n+ 1? (1 point)
O1,5,9,13, 17
O9, 13, 17, 21, 25
O5, 9, 13, 17, 21
O4, 8, 12, 16, 20
C
o
2. Write a recursive definition for the sequence 11, 8.5, 2,… (1 point)
O aj = 11, an=2n-1-4
O a1 = 11. an = an-1-3
O a1 = 2, an=an-1-3
O aj = 2, an= 27-1 + 3
3. Write an explicit formula for the sequence-3.1.5.9…. (1 point)
Oan=-3 + 4(n-1)
Oan=-3 + 4n
Oan=-3 + (n-1)
Oan=-3 +4(n+1)
92
PA 3:09 PM
x Brook Singleton’s Home Pa X ALG II B 2522: Sequence X
+
х
0
Lesson 7: Sequences and Series Unit Test
ALG II B 2522 Unit 5: Sequences and Series
Assessment
4. Suppose you drop a tennis ball from a height of 8 feet. After the ball hits the floor, it rebounds (1 point)
to 80% of its previous height. How high will the ball rebound after its third bounce? Round to
the nearest tenth.
O3.3 feet
O4.1 feet
O 5.1 feet
01 feet

C
o
5. The table shows the predicted growth of particular bacterium after various numbers of hours.
Write an explicit formula for the sequence of the number of bacterium.
(1 point)
Hours (n)
1
2
3
4
5
Number of bacterium
24 48 72 96 120
Oan=24n + 1
Oan=24n
1
24
O an=n+24
Oan=
7
OD
PA 3:09 PM
X Brook Singleton’s Home Pa X ALG II B 2522: Sequence X
+ V
х
0
Lesson 7: Sequences and Series Unit Test
ALG II B 2522 Unit 5: Sequences and Series
Assessment
6. Is the sequence arithmetic? If so, identify the common difference. (1 point)
14, 21, 42, 77, …
Oyes: 7
Oyes; -7
Oyes; 14
O no

C
o
7. What is the 12th term of the sequence 20. 16. 12. …? (1 point)
0-30
0-20
0-28
0-24
32… (1 point)
8. Find the missing term of the arithmetic sequence 20,
O42
O 18
O 34
O 26
02
PA 3:09 PM
X Brook Singleton’s Home Pa X ALG II B 2522: Sequence X
+ V
х
0
Lesson 7: Sequences and Series Unit Test
ALG II B 2522 Unit 5: Sequences and Series
Assessment
9. Is the sequence geometric? If so, identify the common ratio. (1 point)
1 2 4 8 16
3’9’27’ 81′ 243 ***
93 NM-14
Oyes,
2
Oyes;
3
1
9
1
Oyes;
6
O not geometric
10. What is the 10th term of the sequence 81. 27.9…. (1 point)
1
Ο ο
729
1
оо
243
1
081
1
810
02
PA 3:09 PM
x Brook Singleton’s Home Pa X ALG II B 2522: Sequence X
+ V
х
0
Lesson 7: Sequences and Series Unit Test
ALG II B 2522 Unit 5: Sequences and Series
Assessment
11. What is a possible value for the missing term of the geometric sequence? (1 point)
37,
925,-
O-185
0-4,625
0-925
O 481

C
o
12. What is the sum of the finite arithmetic series? (1 point)
(-10) + 0 + 10 + 20+ … +130
O 900
O 1,000
O 950
0955
13. Use summation notation to write the series 6.6 + 15.4 + 24.2 + … for 5 terms.
(1 point)
Note: In each of these images, the lower limit of the summation notation is either “n=1” or “n
= 0”.
92
PA 3:09 PM