Geometric Series Answers

0 verified answers
1
Free Preview

What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

A
a1 = 2 and r = –2
B
a1 = –2 and r = 2
C
a1 = –1 and r = 2
D
a1 = 2 and r = –1
2
Free Preview

What is the value of r of the geometric series?

Question illustration
A
0.8
B
1.3
C
3.0
D
3.2
3

The formula for the sum of an infinite geometric series, , may be used to convert to a fraction. What are the values of and r?

Question illustration
A
a 1 = StartFraction 23 Over 10 EndFraction, r = one-tenth
Option A
B
a 1 = 23, r = StartFraction 1 Over 100 EndFraction
Option B
C
a 1 = StartFraction 23 Over 100 EndFraction, r = 100
Option C
D
a 1 = StartFraction 23 Over 100 EndFraction, r = StartFraction 1 Over 100 EndFraction
Option D
4

Which equation represents the partial sum of the geometric series?

Question illustration
A
125 + 25 + 5 + 1
B
25 + 5 + 1 + one-fifth
Option B
C
1 + one-fifth + StartFraction 1 Over 25 EndFraction + StartFraction 1 Over 125 EndFraction
Option C
D
StartFraction 1 Over 125 EndFraction + one-fifth + 5 + 125
Option D
5

Two students start a club the first week of school. Each member invites three new members the second week of school. Each of these new members then invites three additional members the following week. If the pattern of each new member inviting three new members each week continues, how many members will be in the club after five weeks?

A
80 students
B
121 students
C
242 students
D
363 students
6

What is the sum of the infinite geometric series?

Question illustration
A
–288
B
–216
C
–144
D
–72
7

What are the values of and r of the geometric series?1 + 3 + 9 + 27 + 81

Question illustration
A
a 1 = 1 and r = one-third
Option A
B
a 1 = one-third and r = 1
Option B
C
a 1 = 1 and r = 3
Option C
D
a 1 = 3 and r = 1
Option D
8

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

A
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 300 (0.055) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 305.5 (1.055) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (0.055) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (1.055) Superscript n minus 1
Option D
9

What is the sum of the geometric series?

Question illustration
A
–122
B
–2
C
40
D
54
10

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. Within the next hour, those six people give a stack of flyers to six new people. If this pattern continues, which summation can be used to calculate the number of people who receive a stack of flyers, not including the initial person, in the first five hours?

A
Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 1 (6) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n
Option C
D
Sigma-Summation Underscript n = 1 Overscript 4 EndScripts 1 (6) Superscript n
Option D

Did you find these answers helpful?