Answer:
![T_n = \frac{1}{4^{n-1}}](https://tex.z-dn.net/?f=T_n%20%3D%20%5Cfrac%7B1%7D%7B4%5E%7Bn-1%7D%7D)
Step-by-step explanation:
Given
![({)1, 1/4, 1/16, 1/64, 1/256, ... (})](https://tex.z-dn.net/?f=%28%7B%291%2C%201%2F4%2C%201%2F16%2C%201%2F64%2C%201%2F256%2C%20...%20%28%7D%29)
Required
The general term
The given sequence is geometric.
So first, we calculate the common ratio (r)
![r = T_2/T_1](https://tex.z-dn.net/?f=r%20%3D%20T_2%2FT_1)
So, we have:
![r = 1/4 \div 1](https://tex.z-dn.net/?f=r%20%3D%201%2F4%20%5Cdiv%201)
![r = 1/4](https://tex.z-dn.net/?f=r%20%3D%201%2F4)
The function is then calculated using:
![T_n =T_1 * r^{n-1}](https://tex.z-dn.net/?f=T_n%20%3DT_1%20%2A%20r%5E%7Bn-1%7D)
This gives
![T_n =1 * 1/4^{n-1}](https://tex.z-dn.net/?f=T_n%20%3D1%20%2A%201%2F4%5E%7Bn-1%7D)
![T_n = \frac{1}{4^{n-1}}](https://tex.z-dn.net/?f=T_n%20%3D%20%5Cfrac%7B1%7D%7B4%5E%7Bn-1%7D%7D)
First, you have to round the .1, which would be .0. Next, you round 19.0, or just 19, to the nearest 10, which is 20. Therefore, 19.1 rounded to the nearest 10 is 20.
Answer:
C. randomization
Step-by-step explanation:
We are told that the study randomly selects participants in the study to sleep in either a dark room or a room with light. This means that randomization is part of the study.
Answer:
Factor out the greatest common factor
Step-by-step explanation:
The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
Answer:
24 times he could pick a White car
Step-by-step explanation: