Answer :
We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.
We know that a geometric sequence is in form [tex]a_n=a_1(r)^{n-1}[/tex], where,
[tex]a_n[/tex] = nth term of sequence,
[tex]a_1[/tex] = 1st term of sequence,
r = Common ratio,
n = Number of terms in a sequence.
Upon substituting our given values in geometric sequence formula, we will get:
[tex]a_n=1\cdot (7)^{n-1}[/tex]
Our sequence is defined for all integers such that n is greater than or equal to 1.
Therefore, domain for n is all integers, where [tex]n\geq 1[/tex].