Respuesta :
The domain for n is the natural numbers. i.e. 1, 2, 3, . . .
Answer:
The domain for n is all natural numbers.
Step-by-step explanation:
An arithmetic sequence is defined as
[tex]a_n=a+(n-1)d[/tex] .... (1)
where, a is first term, n is number of term and d is common difference.
The given arithmetic sequence is
[tex]a_n=3+2(n-1)[/tex] ... (2)
From (1) and (2), we get
[tex]a=3,d=2[/tex]
The first term of the given sequence is 3 and the common difference is 2.
We know that the possible values of n are 1, 2, 3, 4, ....
The sequence is defined form n=1,2,3,4,5,...
The domain of the given arithmetic sequence is all natural numbers.
Therefore the domain for n is all natural numbers.