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Mashutka [201]
3 years ago
5

A sequence can be defined by the explicit formula

_n" alt="a_n=5-3_n" align="absmiddle" class="latex-formula"> . 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
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0
<h2>Answer:</h2>

Option: C is the correct answer.

            C.  a_n=a_{n-1}-3\ ;\ a_1=2

<h2>Step-by-step explanation:</h2>

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\times 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

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