I hope first term is 1.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
The formula for general term of a geometric sequence is,

Where, first term: a_{1} =1 and common ratio: r = -4.
So, first step is to plug in the values of a1 and r in the above formula to get the rule of this geometric sequence. Hence,


So, the rule of the geometric sequence is
.
To find the seventh term, plug in n = 7 in the above rule. Therefore,

= 
= 4096
Hope this helps you!.
Answer:
D
Step-by-step explanation:
Using the rule of exponents
= 
, hence
(
)^(
)
=
× 
=
→ D
The answer is athe answer is a, although your mouse was in the way so slightly difficult to read
The equation that describes the given polynomial is:
P(x) = x²*(x - 2)²*(x + 2)
<h3>
How to find the equation for the polynomial?</h3>
Remember that a polynomial with a leading coefficient A and roots:
x₁, x₂, x₃,...,xₙ
The equation that describes the polynomial is:
P(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case, we know that the leading coefficient is 1, and the roots are:
2, 2, 0, 0, -2.
(the first two appear two times because have a multiplicity of two).
Then we can write the equation of the polynomial as:
P(x) = 1*(x - 2)*(x - 2)*(x - 0)*(x - 0)*(x + 2)
P(x) = x²*(x - 2)²*(x + 2)
Learn more about polynomials:
brainly.com/question/4142886
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