The length would be 76 and the width would be 19
Answer:
![33\sqrt{2} +12](https://tex.z-dn.net/?f=33%5Csqrt%7B2%7D%20%2B12)
Step-by-step explanation:
![(3\sqrt{2} - 12)(2\sqrt{2} + 1)](https://tex.z-dn.net/?f=%283%5Csqrt%7B2%7D%20%20-%2012%29%282%5Csqrt%7B2%7D%20%2B%201%29)
![6\sqrt{2} + 3\sqrt{2} -12(2\sqrt{2})+12](https://tex.z-dn.net/?f=6%5Csqrt%7B2%7D%20%20%2B%203%5Csqrt%7B2%7D%20-12%282%5Csqrt%7B2%7D%29%2B12)
![9\sqrt{2}+24\sqrt{2}+12](https://tex.z-dn.net/?f=9%5Csqrt%7B2%7D%2B24%5Csqrt%7B2%7D%2B12)
![33\sqrt{2} +12](https://tex.z-dn.net/?f=33%5Csqrt%7B2%7D%20%2B12)
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:
x= ![-\frac{1}{14}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B14%7D)
Step-by-step explanation:
im going to assume the 3x2 mean 3 times 2