Answer:
-3
Step-by-step explanation:
Estimate : 400 * 40 = 16000
350 inches squared is the answer, because this problem is asking for the surface area. If it was asking for the volume it would have to be asking how much space the cake was taking up, but instead it is asking how much frosting is covering the cake, minus the bottom, aka. the surface are.
Answer:
The first term is 3 and common difference is 8.
And
The formula for sequence is: ![a_n = -5+8n](https://tex.z-dn.net/?f=a_n%20%3D%20-5%2B8n)
Function is: ![f(n) = f(n-1)+8](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%2B8)
Step-by-step explanation:
Given that
![a_4 = 27\\a_8 = 59](https://tex.z-dn.net/?f=a_4%20%3D%2027%5C%5Ca_8%20%3D%2059)
The general formula for arithmetic sequence is:
![a_n = a+(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a%2B%28n-1%29d)
Here
a is the first term
n is the term number
and d is the common difference
for 4th term
![a_4 = a+(4-1)d\\27 = a+3d\ \ \ Eqn\ 1](https://tex.z-dn.net/?f=a_4%20%3D%20a%2B%284-1%29d%5C%5C27%20%3D%20a%2B3d%5C%20%5C%20%5C%20Eqn%5C%201)
For 8th term
![59 = a+ (8-1)d\\59= a+7d\ \ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=59%20%3D%20a%2B%20%288-1%29d%5C%5C59%3D%20a%2B7d%5C%20%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
subtracting equation 1 from equation 2
![59-27 = a+7d-(a+3d)\\32 = a+7d-a-3d\\32 = 4d\\d =\frac{32}{4}\\d = 8](https://tex.z-dn.net/?f=59-27%20%3D%20a%2B7d-%28a%2B3d%29%5C%5C32%20%3D%20a%2B7d-a-3d%5C%5C32%20%3D%204d%5C%5Cd%20%3D%5Cfrac%7B32%7D%7B4%7D%5C%5Cd%20%3D%208)
Putting d = 8 in equation 1
![a+3d = 27\\a+3(8) = 27\\a+24=27\\a = 27-24\\a = 3](https://tex.z-dn.net/?f=a%2B3d%20%3D%2027%5C%5Ca%2B3%288%29%20%3D%2027%5C%5Ca%2B24%3D27%5C%5Ca%20%3D%2027-24%5C%5Ca%20%3D%203)
Now for the function
![a_n = a+(n-1)d\\a_n = 3+(n-1)(8)\\a_n = 3 + 8n-8\\a_n = -5+8n](https://tex.z-dn.net/?f=a_n%20%3D%20a%2B%28n-1%29d%5C%5Ca_n%20%3D%203%2B%28n-1%29%288%29%5C%5Ca_n%20%3D%203%20%2B%208n-8%5C%5Ca_n%20%3D%20-5%2B8n)
The sequence can also be expressed as a function as:
![f(n) = f(n-1) + 8](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2B%208)
Hence,
The first term is 3 and common difference is 8.
And
The formula for sequence is: ![a_n = -5+8n](https://tex.z-dn.net/?f=a_n%20%3D%20-5%2B8n)
Function is: ![f(n) = f(n-1)+8](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%2B8)
Answer:
I would say yes
Step-by-step explanation: Hope I helped!