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Math Problems
Precalculus
Partial sums of geometric series
Write the following expression without negative exponents and without parentheses.
\newline
(
10
x
)
−
2
(10 x)^{-2}
(
10
x
)
−
2
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
310
,
304
,
298
,
…
310,304,298, \ldots
310
,
304
,
298
,
…
\newline
Find the
41
41
41
st term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
30
,
150
,
750
,
…
30,150,750, \ldots
30
,
150
,
750
,
…
\newline
Find the
7
7
7
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
9
,
18
,
27
,
…
9,18,27, \ldots
9
,
18
,
27
,
…
\newline
Find the
36
36
36
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
5
,
14
,
23
,
…
5,14,23, \ldots
5
,
14
,
23
,
…
\newline
Find the
43
43
43
rd term.
\newline
Answer:
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When an integer is subtracted from
6
6
6
times the next consecutive odd integer, the difference is
−
3
-3
−
3
. Find the value of the greater integer.
\newline
Answer:
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The sum of an integer and
7
7
7
times the next consecutive even integer is
94
94
94
. Find the value of the lesser integer.
\newline
Answer:
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The sum of an integer and
3
3
3
times the next consecutive integer is
27
27
27
. Find the value of the lesser integer.
\newline
Answer:
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The sum of an integer and
3
3
3
times the next consecutive even integer is
−
10
-10
−
10
. Find the value of the greater integer.
\newline
Answer:
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Yasmin is the youngest of four siblings whose ages are consecutive integers. If the sum of their ages is
126
126
126
, find Yasmin's age.
\newline
Answer:
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Adriel is the youngest of four siblings whose ages are consecutive odd integers. If the sum of their ages is
120
120
120
, find Adriel's age.
\newline
Answer:
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Xin is the oldest of four siblings whose ages are consecutive integers. If the sum of their ages is
78
78
78
, find Xin's age.
\newline
Answer:
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
4
5
÷
2
\frac{4}{5} \div 2
5
4
÷
2
\newline
Answer:
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Find an expression which represents the sum of
(
9
x
−
6
)
(9 x-6)
(
9
x
−
6
)
and
(
−
9
x
+
4
)
(-9 x+4)
(
−
9
x
+
4
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the difference when
(
−
3
x
+
9
y
)
(-3 x+9 y)
(
−
3
x
+
9
y
)
is subtracted from
(
−
10
x
−
3
y
)
(-10 x-3 y)
(
−
10
x
−
3
y
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the difference when
(
−
4
x
−
6
y
)
(-4 x-6 y)
(
−
4
x
−
6
y
)
is subtracted from
(
−
3
x
+
4
y
)
(-3 x+4 y)
(
−
3
x
+
4
y
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the sum of
(
−
8
x
+
4
)
(-8 x+4)
(
−
8
x
+
4
)
and
(
−
3
x
−
4
)
(-3 x-4)
(
−
3
x
−
4
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the sum of
(
−
5
x
−
4
y
)
(-5 x-4 y)
(
−
5
x
−
4
y
)
and
(
4
x
+
6
y
)
(4 x+6 y)
(
4
x
+
6
y
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the sum of
(
−
6
x
−
3
)
(-6 x-3)
(
−
6
x
−
3
)
and
(
4
x
−
6
)
(4 x-6)
(
4
x
−
6
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the difference when
(
−
4
x
+
4
)
(-4 x+4)
(
−
4
x
+
4
)
is subtracted from
(
−
9
x
−
7
)
(-9 x-7)
(
−
9
x
−
7
)
in simplest terms.
\newline
Answer:
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Find an expression which represents the difference when
(
−
8
x
+
9
)
(-8 x+9)
(
−
8
x
+
9
)
is subtracted from
(
9
x
+
5
)
(9 x+5)
(
9
x
+
5
)
in simplest terms.
\newline
Answer:
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Use an exponent to condense the expression below. Then compute.
\newline
−
4
×
−
4
-4 \times-4
−
4
×
−
4
\newline
Type the base, then use the
a
b
a^{b}
a
b
button or use the
∧
{ }^{\wedge}
∧
symbol on your keyboard for the exponent.
\newline
Condensed form:
\newline
Answer:
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Use an exponent to condense the expression below. Then compute.
\newline
−
1
×
−
1
-1 \times-1
−
1
×
−
1
\newline
Type the base, then use the
a
b
a^{b}
a
b
button or use the
∧
{ }^{\wedge}
∧
symbol on your keyboard for the exponent.
\newline
Condensed form:
\newline
Answer:
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Use an exponent to condense the expression below. Then compute.
\newline
−
6
×
−
6
×
−
6
×
−
6
-6 \times-6 \times-6 \times-6
−
6
×
−
6
×
−
6
×
−
6
\newline
Type the base, then use the
a
b
a^{b}
a
b
button or use the
∧
{ }^{\wedge}
∧
symbol on your keyboard for the exponent.
\newline
Condensed form:
\newline
Answer:
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What is the quotient of
1.56
×
1
0
9
1.56 \times 10^{9}
1.56
×
1
0
9
and
1.3
×
1
0
6
1.3 \times 10^{6}
1.3
×
1
0
6
expressed in scientific notation?
\newline
Answer:
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What is the quotient of
7.15
×
1
0
8
7.15 \times 10^{8}
7.15
×
1
0
8
and
6.5
×
1
0
3
6.5 \times 10^{3}
6.5
×
1
0
3
expressed in scientific notation?
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
8
7
⋅
9
5
\frac{8}{7} \cdot \frac{9}{5}
7
8
⋅
5
9
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.85
0.85
0.85
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.295
0.295
0.295
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.35
0.35
0.35
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.95
0.95
0.95
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.45
0.45
0.45
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.126
0.126
0.126
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.64
0.64
0.64
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.142
0.142
0.142
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0.86
0.86
0.86
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0
0
0
.
29
29
29
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
5
2
‾
.5 \overline{2}
.5
2
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
3
4
‾
.3 \overline{4}
.3
4
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
5
8
‾
.5 \overline{8}
.5
8
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
3
7
‾
.3 \overline{7}
.3
7
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
19
‾
. \overline{19}
.
19
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
9
2
‾
.9 \overline{2}
.9
2
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
3
5
‾
.3 \overline{5}
.3
5
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
2
‾
. \overline{2}
.
2
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
02
‾
\overline{02}
02
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
2
3
‾
.2 \overline{3}
.2
3
\newline
Answer:
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