11.03 Discrete Mathematics: Sequences and Series Unit Exam

QUESTION 1

1. The following is an arithmetic sequence.
   2, 4, -9, 5
   

   		TRUE
   		FALSE

2 points

QUESTION 2

1. The following is an arithmetic sequence.
   -3, 3, -3, 3
   

   		TRUE
   		FALSE

2 points

QUESTION 3

1. The following is an arithmetic sequence.
   5, 6, 7, 8
   

   		TRUE
   		FALSE

2 points

QUESTION 4

1. The following is an arithmetic sequence.
   -4, -3, -2, -1, 0
   

   		TRUE
   		FALSE

2 points

QUESTION 5

1. What is the common difference of the following arithmetic sequence?
   23, 21, 19, 17
   

   		2
   		-2
   		1
   		-1

2 points

QUESTION 6

1. What is the common difference of the following arithmetic sequence?
   8, 10, 12, 14
   

   		1
   		2
   		3
   		4

2 points

QUESTION 7

1. What is the common difference of the following arithmetic sequence?
   5, 4.5, 4, 3.5
   

   		-0.5
   		0.5
   		-1.5
   		1.5

2 points

QUESTION 8

1. What are the next 3 terms of the following sequence.
   1.3, 2.6, 3.9, 5.2

QUESTION 9

1. What are the next 3 terms in the following sequence?
   5, 7, 9

QUESTION 10

1. What are the next 3 terms of the following sequence?
   -3, -8, -13
   

QUESTION 11

1. Find the 10th term of an arithmetic sequence if t1 = 2.1 and t4 = 1.83.

QUESTION 12

1. Find the sixth term of an arithmetic sequence with t1 = 2 and tn = tn-1 + 4.

QUESTION 13

1. Find the three arithmetic means between 7 and 21.
   

QUESTION 14

1. Find S12 for the series 2 + 5 + 8 +…

QUESTION 15

1. Find S20 for the series -1 + -3 + -5 + -7 +…
   

QUESTION 16

1. Find S15 for the series -1 + -3 + -5 + -7 +…

QUESTION 17

1. The following is a geometric sequence.
   
   

   		TRUE
   		FALSE

2 points

QUESTION 18

1. The following is a geometric sequence.
   -1, 1, -1, 1, -1
   

   		TRUE
   		FALSE

2 points

QUESTION 19

1. The following is a geometric sequence.
   -5, 25, -125, 625
   

   		TRUE
   		FALSE

2 points

QUESTION 20

1. The following is a geometric sequence.
   -5, 0, 5, 10
   

   		TRUE
   		FALSE

2 points

QUESTION 21

1. What is the common ratio of the following sequence?
   -3, -12, -48, -192
   

   		1
   		2
   		3
   		4

2 points

QUESTION 22

1. What is the common ratio of the following sequence?
   2, -4, 8, -16
   

   		-1
   		2
   		1
   		-2

2 points

QUESTION 23

1. What is the common ratio of the following sequence?
   7, 21, 63, 189
   

   		1
   		2
   		3
   		4

2 points

QUESTION 24

1. What are the next three terms of the following sequence?
   1, 3, 9, 27

QUESTION 25

1. What are the next three terms of the following sequence?
   

QUESTION 26

1. What are the next three terms of the following sequence?
   8, 40, 200, 1000

QUESTION 27

1. Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104.
   

QUESTION 28

1. Find two geometric means between 7 and 875.

QUESTION 29

1. Find the 6th term of the sequence with t1 = -4 and tn = 5tn-1.

QUESTION 30

1. Find the 6th term of a geometric sequence with t1 = 7 and t9 = 45,927.

QUESTION 31

1. Find S7 for the series 1 + 5 + 25 + 125 +…

QUESTION 32

1. Find S15 for the series 1 + 1.5 + 2.25 + 3.375 +…

QUESTION 33

1. Find S12 for the series 1 + 1.5 + 2.25 + 3.375 +…

QUESTION 34

1. Find S10 for the series 1 + 2 + 4 + 8 +…

QUESTION 35

1. Find the sum of the infinite series 1 + 2 + 4 + 8 +…if it exists.

QUESTION 36

1. Find the sum of the infinite geometric series 8 + 4 + 2 + 1 +…if it exists.
   

QUESTION 37

1. Find the sum of the infinite series 0.9 + 0.09 + 0.009 +…if it exists.

QUESTION 38

1. Find the sum of the infinite geometric series if it exists.