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Math Problems
Algebra 2
Evaluate explicit formulas for sequences
Find an explicit formula for the arithmetic sequence
81
,
54
,
27
,
0
,
…
81,54,27,0, \ldots
81
,
54
,
27
,
0
,
…
\newline
Note: the first term should be
a
(
1
)
a(1)
a
(
1
)
.
\newline
a
(
n
)
=
□
a(n) = \square
a
(
n
)
=
□
\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
a
n
=
5
n
−
4
a_n = 5n - 4
a
n
=
5
n
−
4
\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
a
n
=
2
n
−
7
a_n = 2n − 7
a
n
=
2
n
−7
\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
a
n
=
−
5
n
−
1
a_n = -5n - 1
a
n
=
−
5
n
−
1
\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
a
n
=
−
5
n
−
4
a_n = -5n - 4
a
n
=
−
5
n
−
4
\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
a
n
=
−
4
n
−
5
a_n = -4n - 5
a
n
=
−
4
n
−
5
\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
a
n
=
−
8
n
−
4
a_n = -8n - 4
a
n
=
−
8
n
−
4
\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
a
n
=
−
9
n
−
1
a_n = -9n - 1
a
n
=
−
9
n
−
1
\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
a
n
=
2
(
4
)
n
a_n = 2(4)^n
a
n
=
2
(
4
)
n
\newline
_____, _____, _____, _____, _____
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Question
11
11
11
of
11
11
11
, Step
1
1
1
of
1
1
1
\newline
Find a formula for the inverse of the following function, if possible.
\newline
s
(
x
)
=
5
x
5
+
5
s(x)=5 \sqrt[5]{x}+5
s
(
x
)
=
5
5
x
+
5
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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
a
n
=
3
(
4
)
n
a_n = 3(4)^n
a
n
=
3
(
4
)
n
\newline
_
_
_
_
\_\_\_\_
____
,
_
_
_
_
\_\_\_\_
____
,
_
_
_
_
\_\_\_\_
____
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