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Math Problems
Algebra 2
Partial sums of geometric series
What is the total number of different
8
8
8
-letter arrangements that can be formed using the letters in the word PARADIGM?
\newline
Answer:
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What is the total number of different
11
11
11
-letter arrangements that can be formed using the letters in the word INTERPOLATE?
\newline
Answer:
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What is the total number of different
12
12
12
-letter arrangements that can be formed using the letters in the word INTERMITTENT?
\newline
Answer:
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What is the constant of proportionality in the equation
y
=
7
x
y=7 x
y
=
7
x
?
\newline
constant of proportionality
=
=
=
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What is the constant of proportionality in the equation
y
=
3
x
y=3 x
y
=
3
x
?
\newline
constant of proportionality
=
=
=
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What is the constant of proportionality in the equation
y
=
2
x
y=2 x
y
=
2
x
?
\newline
constant of proportionality
=
=
=
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What is the constant of proportionality in the equation
y
=
2.5
x
y=2.5 x
y
=
2.5
x
?
\newline
constant of proportionality
=
=
=
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Find the third partial sum of the series.
\newline
8
+
32
+
128
+
512
+
2
,
048
+
8
,
192
+
⋯
8 + 32 + 128 + 512 + 2,048 + 8,192 + \cdots
8
+
32
+
128
+
512
+
2
,
048
+
8
,
192
+
⋯
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
S
3
=
S_3 =
S
3
=
______
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