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A sequence can be defined by the explicit formula
a_n=5-3_n . Which recursive formula represents the same sequence of

A.
a_n=a_n_-_1-3;a_1=5
B.
a_n=5-3a_n_-_1;a_1=5
C.
a_n=a_n_-_1-3;a_1=2
D.
a_n=5-3a_n_-_1-3;a_1=2

1 Answer

1 vote

Answer:

Option: C is the correct answer.

C.
a_n=a_(n-1)-3\ ;\ a_1=2

Explanation:

The sequence is given by the explicit formula as:


a_n=5-3n

where
a_n is the nth term of the sequence.

Also, the first term of the sequence is:
a_1

i.e.


a_1=5-3* 1\\\\i.e.\\\\a_1=5-3\\\\i.e.\\\\a_1=2

Also,


a_n=5-3n\\\\i.e.\\\\a_n=5-3n+3-3\\\\i.e.\\\\a_n=5-3(n-1)-3\\\\i.e.\\\\a_n=a_(n-1)-3

Hence, the recursive formula which represents the same sequence is:

Option: C

User Zach Bublil
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