Geometric Series Answers

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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
2
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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
3

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

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
8

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
10

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

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