Question

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?

Answer 1

Answer:

Domain: all integers where n ≥ 1

Step-by-step explanation:

We are given that a geometric sequence has $a_1 = 5$ and the common ratio $r=-3$.

We know that the general form of a geometric sequence is given by:

$a_n=ar^{n-1}$

Substituting the given values in it to get:

$a_n=5(-3)^{n-1}$

Now writing it as a function:

$f(n)=5(-3)^{n-1}$

$f(1)=5$

So the geometric series starts from n = 1, therefore the domain = n≥1