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Math Problems
Grade 7
Evaluate variable expressions for Sequences
Find the first five terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
3
n
+
9
3n + 9
3
n
+
9
\newline
_____, _____, _____, _____, _____
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Find the first five terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
8
n
−
3
8n − 3
8
n
−3
\newline
_____, _____, _____, _____, _____
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Find the first three terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
2
n
−
7
\,-2n - 7
−
2
n
−
7
\newline
_____, _____, _____
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Find the first three terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
9
n
+
8
\,-9n + 8
−
9
n
+
8
\newline
_____, _____, _____
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Find the first four terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
6
n
+
9
-6n + 9
−
6
n
+
9
\newline
_____, _____, _____, _____
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Find the first five terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
10
n
+
6
-10n + 6
−
10
n
+
6
\newline
_____, _____, _____, _____, _____
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Find the first five terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
4
n
+
6
4n + 6
4
n
+
6
\newline
_____, _____, _____, _____, _____
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Find the first four terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
7
n
+
8
7n + 8
7
n
+
8
\newline
_____, _____, _____, _____
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Find the first five terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
7
n
−
2
-7n - 2
−
7
n
−
2
\newline
_____, _____, _____, _____, _____
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Find the first four terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
6
n
-6n
−
6
n
\newline
_____, _____, _____, _____
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Find the first five terms of the sequence defined below, where
n
n
n
represents the position of a term in the sequence. Start with
n
=
1
n = 1
n
=
1
.
\newline
−
4
n
−
4
-4n - 4
−
4
n
−
4
\newline
_____, _____, _____, _____, _____
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Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
P
=
(
3
3
,
−
6
3
)
P=\left(\frac{\sqrt{3}}{3},-\frac{\sqrt{6}}{3}\right)
P
=
(
3
3
,
−
3
6
)
\newline
Answer:
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Find the
14
14
14
th term of the arithmetic sequence
−
5
x
+
1
,
−
12
x
−
3
,
−
19
x
−
7
,
…
-5 x+1,-12 x-3,-19 x-7, \ldots
−
5
x
+
1
,
−
12
x
−
3
,
−
19
x
−
7
,
…
\newline
Answer:
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Find the
1
1
1
oth term of the arithmetic sequence
−
4
x
−
5
,
x
−
8
,
6
x
−
11
,
…
-4 x-5, x-8,6 x-11, \ldots
−
4
x
−
5
,
x
−
8
,
6
x
−
11
,
…
\newline
Answer:
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Find the
1
5
th
15^{\text {th }}
1
5
th
term of the arithmetic sequence
2
x
+
5
,
8
x
+
1
,
14
x
−
3
,
…
2 x+5,8 x+1,14 x-3, \ldots
2
x
+
5
,
8
x
+
1
,
14
x
−
3
,
…
\newline
Answer:
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Find the
6
6
6
th term of the arithmetic sequence
3
x
−
9
,
x
−
15
,
−
x
−
21
,
…
3 x-9, x-15,-x-21, \ldots
3
x
−
9
,
x
−
15
,
−
x
−
21
,
…
\newline
Answer:
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Perform the indicated operation:
2
a
+
1
+
8
a
+
2
\frac{2}{a+1}+\frac{8}{a+2}
a
+
1
2
+
a
+
2
8
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Find the
71
71
71
st term of the arithmetic sequence
1
,
17
,
33
,
…
1,17,33, \ldots
1
,
17
,
33
,
…
\newline
Answer:
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Find the
1
3
th
13^{\text {th }}
1
3
th
term of the geometric sequence
3
,
−
9
,
27
,
…
3,-9,27, \ldots
3
,
−
9
,
27
,
…
\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
2
,
10
3
,
50
9
,
…
2, \frac{10}{3}, \frac{50}{9}, \ldots
2
,
3
10
,
9
50
,
…
\newline
Find the
9
9
9
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
30
,
120
,
480
,
…
30,120,480, \ldots
30
,
120
,
480
,
…
\newline
Find the
7
7
7
th term.
\newline
Answer:
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Wyatt is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is
39
39
39
, find Wyatt's age.
\newline
Answer:
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