Answer:
120
Step-by-step explanation:
It is the only constant in the equation, 120.
_____
The proportionality is to the inverse of the square of d.
Answer:
Step-by-step explanation:
A) looks pretty good
One way to do it is to find an explicit formula for the
![n](https://tex.z-dn.net/?f=n)
th term.
![t_n=-3t_{n-1}=-3(-3t_{n-2})=(-3)^2t_{n-2}=(-3)^2(-3t_{n-3})=(-3)^3t_{n-3}=\cdots](https://tex.z-dn.net/?f=t_n%3D-3t_%7Bn-1%7D%3D-3%28-3t_%7Bn-2%7D%29%3D%28-3%29%5E2t_%7Bn-2%7D%3D%28-3%29%5E2%28-3t_%7Bn-3%7D%29%3D%28-3%29%5E3t_%7Bn-3%7D%3D%5Ccdots)
The pattern suggests that the
![n](https://tex.z-dn.net/?f=n)
th term is given by
![t_n=(-3)^{n-1}t_1](https://tex.z-dn.net/?f=t_n%3D%28-3%29%5E%7Bn-1%7Dt_1)
, and so the fifth term is
![t_5=(-3)^4t_1=648](https://tex.z-dn.net/?f=t_5%3D%28-3%29%5E4t_1%3D648)
.
Another way to do it would be to plug
![t_1](https://tex.z-dn.net/?f=t_1)
into the recursive formula to find
![t_2](https://tex.z-dn.net/?f=t_2)
, then
![t_3](https://tex.z-dn.net/?f=t_3)
, and so on.
![t_2=-3t_1=-24](https://tex.z-dn.net/?f=t_2%3D-3t_1%3D-24)
![t_3=-3t_2=72](https://tex.z-dn.net/?f=t_3%3D-3t_2%3D72)
![t_4=-3t_3=-216](https://tex.z-dn.net/?f=t_4%3D-3t_3%3D-216)
The answer is 4!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The equation reads "three is less than f," meaning any number greater than 3 satisfies the equation. Since there are an infinite amount of numbers, there are infinite solutions.