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

Al integers where n≥1

Explanation:

Yessirrrr

Answer 2

Hence, All integers where n ≥ 1

Option 2 is correct.

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