Answer:
Step-by-step explanation:
The generating function a(x) produces a power series ...
where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...
This can be rearranged to ...
We can formulate this in terms of a(x) as follows, then solve for a(x).
The generating function is ...
a(x) = 1/(1+2x)
Answer:
9.42 cubic inches
Step-by-step explanation:
In order to find the volume for a sphere, we use the formula V = πr. For the sake of simplicity, we will be using 3.14 for π. Before we plug anything in, let's get our radius. Remember, the radius is half of the diameter.
Equation: d = 2r
Replace: 6 = 2r
Divide: 3 = r
Now that we have our radius, let's plug in what we have and solve.
Equation: V = 3.14r
Replace: V = 3.14(3)
Multiply: V = 9.42
Remember, volume is measured in cubic units, so use cubic inches for the unit here.
The opposite of 3.5 is -3.5
