Answer:
(a)![n^{th} = n](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) + 1](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2B%201)
(b)![n^{th} = 2^{n-1}](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%202%5E%7Bn-1%7D)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * 2](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%202)
(c)![n^{th} = n!](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n%21)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%20n)
Step-by-step explanation:
(a) This is a sequence of consecutive number
![n^{th} = n](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) + 1](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2B%201)
(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number
![n^{th} = 2^{n-1}](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%202%5E%7Bn-1%7D)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * 2](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%202)
(c) This is factorial sequence. Where the next number is this number multiplied by ![n^{th}](https://tex.z-dn.net/?f=n%5E%7Bth%7D)
![n^{th} = n!](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n%21)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%20n)
Answer:
D. 1/15
Step-by-step explanation:
Actual tree = 10 ft = 12 × 10 = 120 in.
Model tree = 8 in.
Scale factor = model tree/actual tree
Scale factor = 8/120
Scale factor = 1/15
Answer:
Step-by-step explanation:
2x - 9y = 23
5x - 3y = -12x - 9y = 23
5x - 3y = -1
0.75 = 3/4 = 75%
0.07 = 7/100 = 7%