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Math Problems
Precalculus
Identify a sequence as explicit or recursive
whose equation is
y
=
11
y=11
y
=
11
.
\newline
choice below and, if necessary, fill in the answer box to
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Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
7
a
n
−
3
+
4
a
n
−
4
a_n = 7a_{n - 3} + 4a_{n - 4}
a
n
=
7
a
n
−
3
+
4
a
n
−
4
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
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Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
4
a
n
−
1
+
a
n
−
4
−
12
n
2
−
13
n
+
14
a_n = -4a_{n - 1} + a_{n - 4} - 12n^2 - 13n + 14
a
n
=
−
4
a
n
−
1
+
a
n
−
4
−
12
n
2
−
13
n
+
14
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
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Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
3
a
n
−
2
−
5
a
n
−
3
a_n = -3a_{n - 2} - 5a_{n - 3}
a
n
=
−
3
a
n
−
2
−
5
a
n
−
3
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
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Date:
\newline
Day
1
1
1
\newline
4
4
4
. F-IF.
1
1
1
.
3
3
3
\newline
Find the first five terms of the recursive sequence defined by the function below.
f
(
n
)
=
2
f
(
n
−
1
)
+
3
n
f(n)=2 f(n-1)+3 n
f
(
n
)
=
2
f
(
n
−
1
)
+
3
n
, where
f
(
1
)
=
−
2
f(1)=-2
f
(
1
)
=
−
2
\newline
5
5
5
. F-LE.
1
1
1
.
2
2
2
\newline
The third term in an arithmetic sequence is
10
10
10
and the fifth term is
26
26
26
. If the first term is
a
1
a_{1}
a
1
, which is an equation for the
n
n
n
th term of this sequence?
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What is the value of the expression below when
x
=
4
x=4
x
=
4
?
\newline
3
x
−
3
3 x-3
3
x
−
3
\newline
Answer:
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There were
x
x
x
number of sparrows sitting on the branches of a tree. Three flew away. Choose the correct algebraic expression to depict the statements given above.
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