AnswersCommon Core Algebra II A-ICGeometric Series

Geometric Series Answers

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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
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What is the sum of the infinite geometric series?

Question illustration
A
Negative StartFraction 93 Over 16 EndFraction
Option A
B
Negative StartFraction 3 Over 32 EndFraction
Option B
C
–4
D
–6
3

What is the sum of the infinite geometric series?

Question illustration
A
Negative StartFraction 93 Over 16 EndFraction
Option A
B
Negative StartFraction 3 Over 32 EndFraction
Option B
C
–4
D
–6
4

What is the sum of the geometric series?

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

Which geometric series represents 0.4444... as a fraction?

A
One-fourth + StartFraction 1 Over 40 EndFraction + StartFraction 1 Over 400 EndFraction + StartFraction 1 Over 4,000 EndFraction + ellipsis
Option A
B
StartFraction 1 Over 40 EndFraction + StartFraction 1 Over 400 EndFraction + StartFraction 1 Over 4,000 EndFraction + StartFraction 1 Over 40,000 EndFraction + ellipsis
Option B
C
Four-tenths + startFraction 4 Over 100 EndFraction + StartFraction 4 Over 1,000 EndFraction + StartFraction 4 Over 10,000 EndFraction + ellipsis
Option C
D
One-tenth + StartFraction 1 Over 100 EndFraction + StartFraction 1 Over 1,000 EndFraction + StartFraction 1 Over 10,000 EndFraction + ellipsis
Option D
7

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
8

What is the value of r of the geometric series?

Question illustration
A
0.8
B
1.3
C
3.0
D
3.2
9

Which fraction represents the decimal ?

Question illustration
A
One-twelfth
Option A
B
StartFraction 3 Over 25 EndFraction
Option B
C
StartFraction 4 Over 33 EndFraction
Option C
D
StartFraction 33 Over 4 EndFraction
Option D
10

What is the value of a1 of the geometric series?

Question illustration
A
Negative twelve-ninths
Option A
B
Negative one-ninths
Option B
C
1
D
12

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