Answer:
Explicit formula is:
aₙ = 4(-3)ⁿ⁻¹
The domain of the above formula is:
-∞<n<∞
Step-by-step explanation:
The explicit equation can be found by using the formula
aₙ = a₁ (r)ⁿ⁻¹
Where
a₁ is the first term and
r is the common ratio
We are given a₁ = 4 and a₂ = -12
r = -12/4 = -3
So, explicit formula is:
aₙ = 4(-3)ⁿ⁻¹
The domain of the above formula is:
-∞<n<∞
Answer: Required explicit equation is [tex]f(x)=4(-3)^{x-1}[/tex]
Step-by-step explanation:
Since we have given that
First term =a = 4
Second term = -12
[tex]r=\dfrac{a_2}{a_1}=\dfrac{-12}{4}=-3[/tex]
So, Explicit equation would be
[tex]f(x)=ar^{x-1}\\\\f(x)=4(-3)^{x-1}[/tex]
Hence, required explicit equation is [tex]f(x)=4(-3)^{x-1}[/tex]
