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

(A) All integers where n ≥ 1
(B) All integers
(C) All integers where n ≥ 0
(D) All integers where n 1

Question

Given the arithmetic sequence an = -3 + 9(n - 1), what is the domain for n?
 	
(A) All integers where n ≥ 1
(B) All integers
(C) All integers where n ≥ 0
(D) All integers where n > 1

anonymous · Answer

@tom982, would you be able to help?

anonymous · Answer

Sure. Do you know what the domain is?

anonymous · Answer

No I do not. Which is probably why I dont know how to answer this. Could you explain what it is please ? :)

anonymous · Answer

Sorry for the delay, didn't realise you'd replied. The domain is all of the numbers we can plug into a function, the range is all the numbers we get out of it. Take f(x)=x^2 for example, as we haven't specified what x can be between, the domain is all of the real numbers R. The range is the numbers we can get out of it, well we know that whatever number we put into this function will result in a positive number, so we know the range is x<=0. Does that make sense?

anonymous · Answer

Sorry, x>=0, my bad.

anonymous · Answer

Okay, yes, that makes sense

anonymous · Answer

So going back to our sequence, what numbers can we put into this sequence?