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Precalculus
Convert an explicit formula to a recursive formula
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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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
=
Get tutor help
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
=
Get tutor help
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
=
Get tutor help
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
