Question

Given the arithmetic sequence an = −3 + 9(n − 1), what is the domain for n?

Answer 1

g goes from 1 to infinity...

this is because n - 1 > 0 and n is an integer value

Answer 2

Honestly this question makes no sense
:(

Answer 3

well its for a term in an arthimetic sequence where the 1st term is -3 and the common difference is 9

Answer 4

you could have negative subscripts no this is not likely the answer
you could have 0 and positive integer subscripts
or
you could have positive integer subscripts

Answer 5

but what is preventing us from saying
\[a_0=-3+9(0-1) \\ a_0=-3+9(-1)=-3-9=-12\]
and called the first term -12 instead @campbell_st

or mean we could go with negative subscripts as I said before but they are probably not looking for that
they are probably looking for what campbell_st said which is n-1>=0

Answer 6

I just wouldn't overthink things

a term in an arithmetic sequence is

\[A_{n} = a_{0} + (n -1) \times d \]

so the get the 1st term \[a_{0} ~~~then ~~~n - 1 = 0 ~~~solve ~for~n\]

Answer 7

here are the answer choices

Answer 8

there is no right answer because the sequence can be defined over any integer set
but your teacher is probably wanting you to say n>=1 where n is integer

Answer 9

and yes >= means greater to or equal to