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)
Fifty one billion six hundred thirty four million seven hundred three thousand and one
In the default window of a graphing calculator, there is only one intersection that you see.
However, if you zoom out, you will see that they are 3 intersections to the pair of equations.
Answer:
3.8
Step-by-step explanation:
We are going to plug in the values of the equation, so h(t)=-4.9^2+v0t+h0 will
now be h(t)=-4.9^2+0+70
Now we will find the a b and c of the equation, a=-4.9 b=0 c=70
Now we must find the discriminant of the equation, which the equation for that is D=b^2+(-4)(a)(c)
So D=1,372
Now we use the quadratic formula (see picture below for finished product)