MAT 230 assignment week 5True of False? is a solution to the recurrence relation TrueFalseFind a recurrence relation with initial condition(s) satisfied by the sequence. Assume is the first term of...

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Answer To: MAT 230 assignment week 5True of False? is a solution to the recurrence relation TrueFalseFind a...

David answered on Dec 20 2021
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MAT 230 Quiz 1
MAT 230 assignment week 5
1. True of False?
6
=
n
a
is a solution to the rec
urrence relation
2
1
3
4
-
-
-
=
n
n
n
a
a
a
a. True
b. False
ANS=B.FALSE
(
)
(
)
2
1
2
12
430
3410
3
1
31
nn
n
charactersticsplynomail
rr
r
rootsare
r
r
acc
-++=
--=
=
=
=+
2. Find a recurrence relation with initial condition(s) satisfied by the sequence. Assume
0
a
is the first term of the sequence
n
n
a
2
=
a.
1
,
2
0
=
=
a
a
a
n
n
b.
1
,
1
2
0
=
-
=
a
a
a
n
n
c.
0
,
2
0
=
=
a
a
a
n
n
d.
0
,
1
2
0
=
-
=
a
a
a
n
n
ANS=a
Given
n
n
a
2
=
Replacing n by n+1
1
1
22*2*2
nn
nn
aa
+
+
===
0
1
a
=
3. An employee joined a company in 1999 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the previous year's salary. What will be his/her salary in 2007?
a. $73,870
b. $70,360
c. $83,400
d. $81,870
ANS=C ...
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