Answer:
answer is A
Step-by-step explanation:
I would say that the answer is d for that one
The answer is really easy just download Photomath it helps allot with calc Y=3x-4
Answer:
![a_n = 2( \frac{1}{2})^{n - 1}](https://tex.z-dn.net/?f=a_n%20%3D%202%28%20%5Cfrac%7B1%7D%7B2%7D%29%5E%7Bn%20-%201%7D%20)
Step-by-step explanation:
The given pattern is:
![2,1, \frac{1}{2} , \frac{1}{4}](https://tex.z-dn.net/?f=2%2C1%2C%20%5Cfrac%7B1%7D%7B2%7D%20%2C%20%5Cfrac%7B1%7D%7B4%7D%20)
The first term is
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
The common ratio is the previous term of any consecutive two terms over the previous term.
![r = \frac{1}{2}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
The explicit formula that describes this pattern is:
![a_n = a_1 {r}^{n - 1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%7Br%7D%5E%7Bn%20-%201%7D%20)
We substitute the common ratio and the first term to get:
![a_n = 2( \frac{1}{2} )^{n - 1}](https://tex.z-dn.net/?f=a_n%20%3D%202%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7Bn%20-%201%7D%20)