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Math Problems
Algebra 2
Convert between explicit and recursive formulas
What is the value of
A
A
A
when we rewrite
4
x
+
3
−
4
x
4^{x+3}-4^{x}
4
x
+
3
−
4
x
as
A
⋅
4
x
A\cdot 4^{x}
A
⋅
4
x
?
\newline
A
=
A=
A
=
□
\square
□
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
28
a_1 = 28
a
1
=
28
\newline
a
n
=
a
n
−
1
−
1
a_n = a_{n - 1} - 1
a
n
=
a
n
−
1
−
1
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
50
a_1 = 50
a
1
=
50
\newline
a
n
=
a
n
−
1
+
1
a_n = a_{n - 1} + 1
a
n
=
a
n
−
1
+
1
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
4
a_1 = 4
a
1
=
4
\newline
a
n
=
a
n
−
1
+
17
a_n = a_{n - 1} + 17
a
n
=
a
n
−
1
+
17
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
47
a_1 = -47
a
1
=
−
47
\newline
a
n
=
a
n
−
1
−
7
a_n = a_{n - 1} - 7
a
n
=
a
n
−
1
−
7
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
−
7
n
+
2
a_n = -7n + 2
a
n
=
−
7
n
+
2
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
3
n
+
37
a_n = 3n + 37
a
n
=
3
n
+
37
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
19
n
+
14
a_n = 19n + 14
a
n
=
19
n
+
14
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
14
n
+
43
a_n = 14n + 43
a
n
=
14
n
+
43
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
−
11
n
−
35
a_n = -11n - 35
a
n
=
−
11
n
−
35
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
5
n
+
24
a_n = 5n + 24
a
n
=
5
n
+
24
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
25
a_1 = -25
a
1
=
−
25
\newline
a
n
=
a
n
−
1
+
16
a_n = a_{n - 1} + 16
a
n
=
a
n
−
1
+
16
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
1
a_1 = -1
a
1
=
−
1
\newline
a
n
=
a
n
−
1
+
7
a_n = a_{n - 1} + 7
a
n
=
a
n
−
1
+
7
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
29
a_1 = -29
a
1
=
−
29
\newline
a
n
=
a
n
−
1
−
19
a_n = a_{n - 1} - 19
a
n
=
a
n
−
1
−
19
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
−
10
n
−
21
a_n = -10n - 21
a
n
=
−
10
n
−
21
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
65
a_1 = 65
a
1
=
65
\newline
a
n
=
a
n
−
1
+
19
a_n = a_{n - 1} + 19
a
n
=
a
n
−
1
+
19
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
17
n
−
6
a_n = 17n - 6
a
n
=
17
n
−
6
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
−
19
n
−
24
a_n = -19n - 24
a
n
=
−
19
n
−
24
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
21
a_1 = -21
a
1
=
−
21
\newline
a
n
=
a
n
−
1
+
11
a_n = a_{n - 1} + 11
a
n
=
a
n
−
1
+
11
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
−
3
n
−
23
a_n = -3n - 23
a
n
=
−
3
n
−
23
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
7
a_1 = 7
a
1
=
7
\newline
a
n
=
a
n
−
1
+
12
a_n = a_{n - 1} + 12
a
n
=
a
n
−
1
+
12
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
18
a_1 = 18
a
1
=
18
\newline
a
n
=
a
n
−
1
+
1
a_n = a_{n - 1} + 1
a
n
=
a
n
−
1
+
1
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
1
a_1 = 1
a
1
=
1
\newline
a
n
=
a
n
−
1
+
2
a_n = a_{n - 1} + 2
a
n
=
a
n
−
1
+
2
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
27
a_1 = -27
a
1
=
−
27
\newline
a
n
=
a
n
−
1
+
17
a_n = a_{n - 1} + 17
a
n
=
a
n
−
1
+
17
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
−
18
n
+
29
a_n = -18n + 29
a
n
=
−
18
n
+
29
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
13
n
−
36
a_n = 13n - 36
a
n
=
13
n
−
36
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
55
a_1 = 55
a
1
=
55
\newline
a
n
=
a
n
−
1
+
13
a_n = a_{n - 1} + 13
a
n
=
a
n
−
1
+
13
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
18
a_1 = -18
a
1
=
−
18
\newline
a
n
=
a
n
−
1
−
13
a_n = a_{n - 1} - 13
a
n
=
a
n
−
1
−
13
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
−
35
a_1 = -35
a
1
=
−
35
\newline
a
n
=
a
n
−
1
−
2
a_n = a_{n - 1} - 2
a
n
=
a
n
−
1
−
2
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Use the initial term and the recursive formula to find an explicit formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
a
1
=
19
a_1 = 19
a
1
=
19
\newline
a
n
=
a
n
−
1
−
9
a_n = a_{n - 1} - 9
a
n
=
a
n
−
1
−
9
\newline
a
n
=
_
_
_
_
_
a_n = \_\_\_\_\_
a
n
=
_____
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
\newline
a
n
=
4
n
−
23
a_n = 4n - 23
a
n
=
4
n
−
23
\newline
a
n
=
_
a_n = \_
a
n
=
_
Get tutor help
Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
−
7
and
a
n
=
a
n
−
1
−
5
a_{1}=-7 \text { and } a_{n}=a_{n-1}-5
a
1
=
−
7
and
a
n
=
a
n
−
1
−
5
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help
Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
7
and
a
n
=
5
a
n
−
1
a_{1}=7 \text { and } a_{n}=5 a_{n-1}
a
1
=
7
and
a
n
=
5
a
n
−
1
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help
Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
1
and
a
n
=
−
2
a
n
−
1
a_{1}=1 \text { and } a_{n}=-2 a_{n-1}
a
1
=
1
and
a
n
=
−
2
a
n
−
1
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help
Write an explicit formula for
a
n
a_{n}
a
n
, the
n
th
n^{\text {th }}
n
th
term of the sequence
3
,
−
12
,
48
,
…
3,-12,48, \ldots
3
,
−
12
,
48
,
…
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help
Write an explicit formula for
a
n
a_{n}
a
n
, the
n
th
n^{\text {th }}
n
th
term of the sequence
27
,
−
9
,
3
,
…
27,-9,3, \ldots
27
,
−
9
,
3
,
…
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help
Use the explicit formula to find a recursive formula for the sequence
a
n
a_n
a
n
. Write your answer in simplest form. The recursive formula should depend on
a
n
−
1
a_{n - 1}
a
n
−
1
.
a
n
=
n
+
4
a_n = n + 4
a
n
=
n
+
4
a
n
=
a_n =
a
n
=
______
Get tutor help
