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Precalculus
Convert an explicit formula to a recursive formula
History of Psychology: lutorial
\newline
Activity
\newline
Select any decade from the nineteenth or the twentieth century and create a timeline that traces the significant developments in the field of psychology across that decade. Your timeline should include at least
10
10
10
significant psychological developments that span the decade that you select.
\newline
Space used (includes formatting):
0
/
15000
0 / 15000
0/15000
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The ratio of boys to girls in a class is
5
:
4
5:4
5
:
4
. If a few boys leave the class, the ratio of boys to girls would become the reciprocal of the earlier ratio, which of the following CANNOT be the possible number of boys and girls in the class?
\newline
A)
45
45
45
\newline
B)
90
90
90
\newline
C)
120
120
120
\newline
D)
135
135
135
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Use the explicit formula to find a recursive formula for the sequence
a
a
a
. Write your answer in simplest form.
\newline
The recursive formula should depend on
a
a
a
.
\newline
a
=
n
−
9
a = n - 9
a
=
n
−
9
\newline
a = ______
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Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
4
and
a
n
=
a
n
−
1
+
5
a_{1}=4 \text { and } a_{n}=a_{n-1}+5
a
1
=
4
and
a
n
=
a
n
−
1
+
5
\newline
Answer:
a
n
=
a_{n}=
a
n
=
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Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
8
and
a
n
=
a
n
−
1
−
2
a_{1}=8 \text { and } a_{n}=a_{n-1}-2
a
1
=
8
and
a
n
=
a
n
−
1
−
2
\newline
Answer:
a
n
=
a_{n}=
a
n
=
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Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
1
and
a
n
=
−
4
a
n
−
1
a_{1}=1 \text { and } a_{n}=-4 a_{n-1}
a
1
=
1
and
a
n
=
−
4
a
n
−
1
\newline
Answer:
a
n
=
a_{n}=
a
n
=
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Write an explicit formula that represents the sequence defined by the following recursive formula:
\newline
a
1
=
1
and
a
n
=
−
3
a
n
−
1
a_{1}=1 \text { and } a_{n}=-3 a_{n-1}
a
1
=
1
and
a
n
=
−
3
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
=
5
and
a
n
=
−
3
a
n
−
1
a_{1}=5 \text { and } a_{n}=-3 a_{n-1}
a
1
=
5
and
a
n
=
−
3
a
n
−
1
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help