[tex]\boxed{a_{n}=5-2(n-1)}[/tex]
The arithmetic sequence is defined as Follows:
A sequence of numbers whenever the difference of any two successive members of the sequence remains constant.
The explicit equation of any arithmetic sequence can be written as follows:
[tex]a_{n}=a_{1}+d(n-1) \\ \\ \\ a_{1}: First \ term \\ \\ a_{n}:nth \ term \\ \\ d:Common \ ratio \\ \\ n:Number \ of \ term[/tex]
So here we know:
[tex]a_{1}=5 \\ \\ a_{2}=5+d(2-1)=3 \\ \\ \\ Isolating \ d: \\ \\ d=3-5 \\ \\ d=-2[/tex]
Finally, the explicit formula is:
[tex]\boxed{a_{n}=5-2(n-1)}[/tex]
Moreover, the domain is any natural number.
Arithmetic sequence: https://brainly.com/question/10143621
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