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

Respuesta :

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.

[tex]a_n=ar^{n-1}[/tex]

[tex]a_n=5(-3)^{n-1}[/tex]

Now we write as function,

[tex]f(n)=5(-3)^{n-1}[/tex]

f(1)=5

For n=1,

Geometric series start from n=1

Therefore, Domain: n≥1

Hence, All integers where n ≥ 1

Answer:

Al integers where n≥1

Step-by-step explanation:

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