Answer:
1.05(0.85y)
Step-by-step explanation:
15% off so .85y and a 5% tax so 1.05(.85y)
D. Warm air rises and cool air sinks
If I did the math right the answer should be 1,750
Answer:
![a_n = 8 + (n - 1) (-6)](https://tex.z-dn.net/?f=a_n%20%3D%208%20%2B%20%28n%20-%201%29%20%28-6%29)
Step-by-step explanation:
Given
![a_1 = 8](https://tex.z-dn.net/?f=a_1%20%3D%208)
Recursive: ![a_{n} = a_{n-1} - 6](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20-%206)
Required
Determine the formula
Substitute 2 for n to determine ![a_2](https://tex.z-dn.net/?f=a_2)
![a_{2} = a_{2-1} - 6](https://tex.z-dn.net/?f=a_%7B2%7D%20%3D%20a_%7B2-1%7D%20-%206)
![a_{2} = a_{1} - 6](https://tex.z-dn.net/?f=a_%7B2%7D%20%3D%20a_%7B1%7D%20-%206)
Substitute ![a_1 = 8](https://tex.z-dn.net/?f=a_1%20%3D%208)
![a_2 = 8 - 6](https://tex.z-dn.net/?f=a_2%20%3D%208%20-%206)
![a_2 = 2](https://tex.z-dn.net/?f=a_2%20%3D%202)
Next is to determine the common difference, d;
![d = a_2 - a_1](https://tex.z-dn.net/?f=d%20%3D%20a_2%20-%20a_1)
![d = 2 - 8](https://tex.z-dn.net/?f=d%20%3D%202%20-%208)
![d = -6](https://tex.z-dn.net/?f=d%20%3D%20-6)
The nth term of an arithmetic sequence is calculated as
![a_n = a_1 + (n - 1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n%20-%201%29d)
Substitute
and ![d = -6](https://tex.z-dn.net/?f=d%20%3D%20-6)
![a_n = a_1 + (n - 1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n%20-%201%29d)
![a_n = 8 + (n - 1) (-6)](https://tex.z-dn.net/?f=a_n%20%3D%208%20%2B%20%28n%20-%201%29%20%28-6%29)
Hence, the nth term of the sequence can be calculated using![a_n = 8 + (n - 1) (-6)](https://tex.z-dn.net/?f=a_n%20%3D%208%20%2B%20%28n%20-%201%29%20%28-6%29)