AnswersDHS Algebra 2 VGeometric Series

Geometric Series Answers

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Answers:
Blank 1:79
Blank 2:99
4

b =

Answer:

99

5

a1 = [___]d

Answer:

0.5

7

Question text not available

Answers:
Blank 1:14
Blank 2:111
8

Which series represents this situation?

A
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
B
1 + 1 · 7 + 1 · 72 + . . . 1 · 77
C
7 + 1 · 7 + 1 · 72 + . . . 1 · 76
D
7 + 1 · 7 + 1 · 72 + . . . 1 · 77
9

Check all of the infinite geometric series that converge.

A
135 – 405 + 1,215 – 3,645 + . . .
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Identify a1 and r for the sum of the geometric series. −4, 8, −16, 32,… a1 = r =

Answers:
Blank 1:Insufficient information
Blank 2:Insufficient information
13

a1 = [___]

Answer:

1/2

14

Explain why a geometric series with a ratio between zero and one converges and how you find the sum.

Answer:

A geometric series with a ratio between zero and one converges because its powers r^n approach zero as n becomes large. Using the finite sum formula S_n = a_1(1-r^n)/(1-r), the r^n term approaches zero, leaving the infinite sum S = a_1/(1-r).

15

b =

Answer:

99

17

Check all of the infinite geometric series that diverge.

A
27 + 9 + 3 + 1 + . . .
B
Option
Option B
C
2.2 + 0.22 + 0.022 + . . .
D
Option
Option D
19

r = [___]

Answer:

Insufficient information

20

r = [___]

Answer:

3/4

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