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

Question

solomonzelman · Answer

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

solomonzelman · Answer

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

solomonzelman · Answer

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

anonymous · Answer

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

anonymous · Answer

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

solomonzelman · Answer

I see the options

solomonzelman · Answer

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

anonymous · Answer

I meant greater or equal to one so A?

solomonzelman · Answer

yes

solomonzelman · Answer

$\large\color{black}{ n \ge1 }$

anonymous · Answer

Thanks!! :)

solomonzelman · Answer

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