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Precalculus
Convergent and divergent geometric series
Kroger is having a sale on strawberries. There is a cooler bin full of cartons of strawberries. You notice a few different company labels in the bin, but the cartons are all the same size and price. This is an example of:
\newline
Group of answer choices
\newline
Perfect Competition
\newline
Oligopoly
\newline
Monopolistic Competition
\newline
Monopoly
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∑
n
=
3
∞
ln
n
n
\sum_{n=3}^{\infty}\frac{\ln n}{\sqrt{n}}
n
=
3
∑
∞
n
ln
n
is this divergent or convergent?
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An amusement park is unveiling
5
5
5
brand-new rides. In how many different orders can the new rides be unveiled?
\newline
□
\square
□
orders
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Does the infinite geometric series converge or diverge?
\newline
1
+
4
3
+
16
9
+
64
27
+
…
1 + \frac{4}{3} + \frac{16}{9} + \frac{64}{27} + \ldots
1
+
3
4
+
9
16
+
27
64
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
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Does the infinite geometric series converge or diverge?
\newline
1
+
1
5
+
1
25
+
1
125
+
…
1 + \frac{1}{5} + \frac{1}{25} + \frac{1}{125} + \ldots
1
+
5
1
+
25
1
+
125
1
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
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Does the infinite geometric series converge or diverge?
\newline
1
+
9
+
81
+
729
+
…
1 + 9 + 81 + 729 + \dots
1
+
9
+
81
+
729
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
4
+
16
+
64
+
…
1 + 4 + 16 + 64 + \dots
1
+
4
+
16
+
64
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
10
+
100
+
1
,
000
+
…
1 + 10 + 100 + 1,000 + \dots
1
+
10
+
100
+
1
,
000
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
1
4
+
1
16
+
1
64
+
…
1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64} + \ldots
1
+
4
1
+
16
1
+
64
1
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
1
2
+
1
4
+
1
8
+
…
1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots
1
+
2
1
+
4
1
+
8
1
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
8
+
64
+
512
+
…
1 + 8 + 64 + 512 + \dots
1
+
8
+
64
+
512
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
2
5
+
4
25
+
8
125
+
⋯
1 + \frac{2}{5} + \frac{4}{25} + \frac{8}{125} + \cdots
1
+
5
2
+
25
4
+
125
8
+
⋯
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
3
4
+
9
16
+
27
64
+
…
1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \ldots
1
+
4
3
+
16
9
+
64
27
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
3
+
9
+
27
+
…
1 + 3 + 9 + 27 + \ldots
1
+
3
+
9
+
27
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
3
5
+
9
25
+
27
125
+
…
1 + \frac{3}{5} + \frac{9}{25} + \frac{27}{125} + \ldots
1
+
5
3
+
25
9
+
125
27
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
\newline
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
2
3
+
4
9
+
8
27
+
…
1 + \frac{2}{3} + \frac{4}{9} + \frac{8}{27} + \ldots
1
+
3
2
+
9
4
+
27
8
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
1
3
+
1
9
+
1
27
+
…
1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \ldots
1
+
3
1
+
9
1
+
27
1
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
Does the infinite geometric series converge or diverge?
\newline
1
+
7
+
49
+
343
+
…
1 + 7 + 49 + 343 + \dots
1
+
7
+
49
+
343
+
…
\newline
Choices:
\newline
(A) converge
\newline
(B) diverge
Get tutor help
convergent or divergent?
\newline
∑
n
=
1
∞
1
n
2
+
4
\sum_{n=1}^{\infty}\frac{1}{n^2+4}
∑
n
=
1
∞
n
2
+
4
1
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