Question

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?
All integers where n ≥ 0

All integers where n ≥ 1

All integers where n ≥ 5

All integers where ≤ 5

Answer 1

Answer:

Hence, All integers where n ≥ 1

Option 2 is correct.

Step-by-step explanation:

Given: The geometric sequence

where, a1 = a = 5 and the common ratio (r) = −3

Now we will find the general term of Geometric sequence.

$a_n=ar^{n-1}$

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

Now we write as function,

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

f(1)=5

For n=1,

Geometric series start from n=1

Therefore, Domain: n≥1

Hence, All integers where n ≥ 1

Answer 2

Answer:

Al integers where n≥1

Step-by-step explanation:

Yessirrrr