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Mathematics, 20.10.2021 09:50 ChHal3716

(a) Use the given sequence to answer the following questions. Answer all THREE parts.
βˆ’
1
,

4
,

9
,

14
,

…
βˆ’1, 4, 9, 14, …
Part A
What is the recursive formula?

A
an=anβˆ’1+5a1=βˆ’1 a
n

=a
nβˆ’1

+5
a
1

=βˆ’1


B
an=anβˆ’1βˆ’1a1=βˆ’1a
n

=a
nβˆ’1

βˆ’1
a
1

=βˆ’1


C
an=anβˆ’1+5a1=5a
n

=a
nβˆ’1

+5
a
1

=5


D
an=anβˆ’1βˆ’1a1=5a
n

=a
nβˆ’1

βˆ’1
a
1

=5


(b)

Part B
What is the explicit formula?

A
an=βˆ’1+5(nβˆ’1)a
n

=βˆ’1+5(nβˆ’1)
B
an=βˆ’1+5na
n

=βˆ’1+5n
C
an=5βˆ’1(nβˆ’1)a
n

=5βˆ’1(nβˆ’1)
D
an=5βˆ’1na
n

=5βˆ’1n
(c)



Part C
What is the 10th term in the sequence?


(a)

Use the given sequence to answer the following questions. Answer all THREE parts.
βˆ’
1
,
4
,
9

ansver
Answers: 1

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