Question

Given the geometric sequence where a_1 = 4 and the common ratio is 3, what is the domain for n?

Answer 1

\(\large\color{black}{ a_n=a_1 \times r^{n-1} }\) is a recursive formula for geometric sequence.

Answer 2

when you say: \(\large\color{black}{ a_n }\) you are saying "the Nth term"

you can have the:
~ 1st term.
~ 2nd term.
~ 3rd term.
(and on)

you CAN NOT have:
~ ZEROth term
~ negative 1st term
~ negative second term

Answer 3

which option do you choose (based on what I have said) ?

Answer 4

All integers where n ≥ 1
All integers where > 1
All integers where n ≥ 4
All real numbers

Answer 5

I think maybe a since it can be less than or equal to 1

Answer 6

I see the options

Answer 7

n is less than 1?
then you would have 0th term, negative first term, and on... but that is NOT a possiblity.

Answer 8

I meant greater or equal to one so A?

Answer 9

yes

Answer 10

\(\large\color{black}{ n \ge1 }\)

Answer 11

Thanks!! :)

Answer 12

if got any latex questions, message me....
you welcome!