Respuesta :
Answer:
The explicit equation for the given geometric sequence is [tex]a_n=4(-2)^{n-1}[/tex]. The domain for the geometric sequence is all positive integers except 0.
Step-by-step explanation:
It is given that the first term of the geometric sequence is 4 and the second term is -8.
[tex]a_1=4,a_2=-8[/tex]
The common ratio for the sequence is
[tex]r=\frac{a_2}{a_1}=\frac{-8}{4}=-2[/tex]
The explicit equation for a given geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
where, a is first term, n is number of term and r is common ratio.
The explicit equation for the given geometric sequence is
[tex]a_n=4(-2)^{n-1}[/tex]
Here n is the number of term. So, the value of n is must be a positive integer except 0.
Therefore the domain for the geometric sequence is all positive integers except 0.