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Precalculus
Find the value of an infinite geometric series
Find the sum of the infinite geometric series.
\newline
6
+
18
5
+
54
25
+
162
125
+
6 + \frac{18}{5} + \frac{54}{25} + \frac{162}{125} +
6
+
5
18
+
25
54
+
125
162
+
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
3
+
3
2
+
3
4
+
3
8
+
…
3 + \frac{3}{2} + \frac{3}{4} + \frac{3}{8} + \dots
3
+
2
3
+
4
3
+
8
3
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
8
+
6
+
9
2
+
27
8
+
…
8 + 6 + \frac{9}{2} + \frac{27}{8} + \dots
8
+
6
+
2
9
+
8
27
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
9
+
36
5
+
144
25
+
576
125
+
9 + \frac{36}{5} + \frac{144}{25} + \frac{576}{125} +
9
+
5
36
+
25
144
+
125
576
+
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
______
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Find the sum of the infinite geometric series.
\newline
5
+
5
2
+
5
4
+
5
8
+
…
5 + \frac{5}{2} + \frac{5}{4} + \frac{5}{8} + \dots
5
+
2
5
+
4
5
+
8
5
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
9
+
27
4
+
81
16
+
243
64
+
9 + \frac{27}{4} + \frac{81}{16} + \frac{243}{64} +
9
+
4
27
+
16
81
+
64
243
+
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
______
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Find the sum of the infinite geometric series.
\newline
5
+
10
3
+
20
9
+
40
27
+
…
5 + \frac{10}{3} + \frac{20}{9} + \frac{40}{27} + \dots
5
+
3
10
+
9
20
+
27
40
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
3
+
3
4
+
3
16
+
3
64
+
…
3 + \frac{3}{4} + \frac{3}{16} + \frac{3}{64} + \dots
3
+
4
3
+
16
3
+
64
3
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
7
+
28
5
+
112
25
+
448
125
+
7 + \frac{28}{5} + \frac{112}{25} + \frac{448}{125} +
7
+
5
28
+
25
112
+
125
448
+
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
3
+
12
5
+
48
25
+
192
125
+
…
3 + \frac{12}{5} + \frac{48}{25} + \frac{192}{125} + \dots
3
+
5
12
+
25
48
+
125
192
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
10
+
5
2
+
5
8
+
5
32
+
…
10 + \frac{5}{2} + \frac{5}{8} + \frac{5}{32} + \dots
10
+
2
5
+
8
5
+
32
5
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
2
+
3
2
+
9
8
+
27
32
+
…
2 + \frac{3}{2} + \frac{9}{8} + \frac{27}{32} + \dots
2
+
2
3
+
8
9
+
32
27
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Find the sum of the infinite geometric series.
\newline
2
+
2
5
+
2
25
+
2
125
+
…
2 + \frac{2}{5} + \frac{2}{25} + \frac{2}{125} + \dots
2
+
5
2
+
25
2
+
125
2
+
…
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
_
_
\_\_
__
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
3
7
÷
6
11
×
3
5
-\frac{3}{7}\div\frac{6}{11}\times\frac{3}{5}
−
7
3
÷
11
6
×
5
3
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