Answer:
3/2
Step-by-step explanation:
Given
![t_1 = 96](https://tex.z-dn.net/?f=t_1%20%3D%2096)
![r = \frac{1}{4}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
Required
Find t4
The nth term of a geometric sequence is calculated as:
![t_n = t_1 * r^{n-1](https://tex.z-dn.net/?f=t_n%20%3D%20t_1%20%2A%20r%5E%7Bn-1)
So:
![t_4 = t_1 * r^{4-1](https://tex.z-dn.net/?f=t_4%20%3D%20t_1%20%2A%20r%5E%7B4-1)
![t_4 = t_1 * r^3](https://tex.z-dn.net/?f=t_4%20%3D%20t_1%20%2A%20r%5E3)
This gives:
![t_4 = 96 * \frac{1}{4}^3](https://tex.z-dn.net/?f=t_4%20%3D%2096%20%2A%20%5Cfrac%7B1%7D%7B4%7D%5E3)
![t_4 = 96 * \frac{1}{64}](https://tex.z-dn.net/?f=t_4%20%3D%2096%20%2A%20%5Cfrac%7B1%7D%7B64%7D)
Express as a single fraction
![t_4 = \frac{96}{64}](https://tex.z-dn.net/?f=t_4%20%3D%20%5Cfrac%7B96%7D%7B64%7D)
![t_4 = \frac{3}{2}](https://tex.z-dn.net/?f=t_4%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
<em>Hence, the 4th term is 3/2</em>
Answer:
The second option and the last option
Step-by-step explanation:
10^5 equals 100000 and if you try all options the only 2 that also equal 100000 is those two.
Answer:
the slope is 1
Step-by-step explanation:
The slope can be found by determining the change in y over the change in x
In this graph as y goes up one x goes up one so the slope is 1/1 or 1
<em>The1AndOnlyMark</em>
If Jose had 50 points but lost 40 of them he would then have 10 points but then he gained 87 to his already 10 points he would then have 97 points at the end of the game
50 - 40 + 87 = 97
Answer:
16/18 4/36
Step-by-step explanation:
im sorry i dont know