<u>Given</u>:
The given expression to find the nth term of the sequence is ![d(n)=d(n-1) \cdot (-5)](https://tex.z-dn.net/?f=d%28n%29%3Dd%28n-1%29%20%5Ccdot%20%28-5%29)
The first term of the sequence is ![d(1)=8](https://tex.z-dn.net/?f=d%281%29%3D8)
We need to determine the third term of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.
Thus, we have;
![d(2)=d(2-1) \cdot (-5)](https://tex.z-dn.net/?f=d%282%29%3Dd%282-1%29%20%5Ccdot%20%28-5%29)
![d(2)=d(1) \cdot (-5)](https://tex.z-dn.net/?f=d%282%29%3Dd%281%29%20%5Ccdot%20%28-5%29)
![d(2)=8 \cdot (-5)](https://tex.z-dn.net/?f=d%282%29%3D8%20%5Ccdot%20%28-5%29)
![d(2)=-40](https://tex.z-dn.net/?f=d%282%29%3D-40)
Thus, the second term of the sequence is -40.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.
Thus, we have;
![d(3)=d(3-1) \cdot (-5)](https://tex.z-dn.net/?f=d%283%29%3Dd%283-1%29%20%5Ccdot%20%28-5%29)
![d(3)=-40 \cdot (-5)](https://tex.z-dn.net/?f=d%283%29%3D-40%20%5Ccdot%20%28-5%29)
![d(3)=120](https://tex.z-dn.net/?f=d%283%29%3D120)
Thus, the third term of the sequence is 120.
The mean is 102 and the standard deviation is 2.
The sample mean is equal to the population mean; the sample standard deviation is equal to
σ/√n = 10/(√25) = 2
Answer: e. ![6a-2a^{2}](https://tex.z-dn.net/?f=6a-2a%5E%7B2%7D)
Step-by-step explanation:
1. You have the following expression given in the problem:
![a(6-2a)](https://tex.z-dn.net/?f=a%286-2a%29)
2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by
. Then, you obtain:
![a(6-2a)=(a)(6)-(a)(2a)=6a-2a^{2}](https://tex.z-dn.net/?f=a%286-2a%29%3D%28a%29%286%29-%28a%29%282a%29%3D6a-2a%5E%7B2%7D)
Answer:
62 degrees
Step-by-step explanation:
Points (12,440 and (20,20)
Slope = -3
Equation of line: y - 44 = -3(x - 12)
Plug in x = 6 to get y = 62.
This question wants to know the domain. For example: (2,4) 2 is the domain and 4 is the range.
Then, they want you to solve by finding X the range when x =-1
x-4/x^2+5x-36
Put -1 everytime you see x
-1-4/-1^2+5(-1)-36
-5/1+(-6)-36
-5/-41 This is the range.