Answer:
Noone can answer it if you dont give us the numbers
Step-by-step explanation:
Answer:
You can check the answer by yourself after seeing the below answer.
Step-by-step explanation:
A sequence is geometric only if has common ratio i.e.
whiere a1,a2 and a3 are first,second and third term of the sequence respectively.
1) Common ratio ![r=\frac{-18}{-3}=\frac{-108}{-18}=6\\](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-18%7D%7B-3%7D%3D%5Cfrac%7B-108%7D%7B-18%7D%3D6%5C%5C)
Explicit formula ![a_{n} =a_{1} .r^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3Da_%7B1%7D%20.r%5E%7Bn-1%7D)
Now using the above formula, we can find ![8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.](https://tex.z-dn.net/?f=8%5E%7Bth%7D%20term%3D-3%2A%286%29%5E%7B8-1%7D%20%3D-3%2A6%5E%7B7%7D%3D-839808.)
2) Here
so this is not geometric sequence so no need to proceed further.
3) Common ratio ![r=\frac{15}{-3}=\frac{-75}{15}=-5\\](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B15%7D%7B-3%7D%3D%5Cfrac%7B-75%7D%7B15%7D%3D-5%5C%5C)
Explicit formula ![a_{n} =a_{1} .(-5)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3Da_%7B1%7D%20.%28-5%29%5E%7Bn-1%7D)
Now using the above formula, we can find ![8^{th} term=-3*(-5)^{8-1} =-3*(-5)^{7}=234375.](https://tex.z-dn.net/?f=8%5E%7Bth%7D%20term%3D-3%2A%28-5%29%5E%7B8-1%7D%20%3D-3%2A%28-5%29%5E%7B7%7D%3D234375.)
4) Common ratio ![r=\frac{-6}{1}=\frac{36}{-6}=-6\\](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-6%7D%7B1%7D%3D%5Cfrac%7B36%7D%7B-6%7D%3D-6%5C%5C)
Explicit formula ![a_{n} =a_{1} .(-6)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3Da_%7B1%7D%20.%28-6%29%5E%7Bn-1%7D)
Now using the above formula, we can find ![8^{th} term=1*(-6)^{8-1} =1*(-6)^{7}=-279936.](https://tex.z-dn.net/?f=8%5E%7Bth%7D%20term%3D1%2A%28-6%29%5E%7B8-1%7D%20%3D1%2A%28-6%29%5E%7B7%7D%3D-279936.)
5)Common ratio ![r=\frac{-8}{4}=\frac{16}{-8}=-2\\](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-8%7D%7B4%7D%3D%5Cfrac%7B16%7D%7B-8%7D%3D-2%5C%5C)
Explicit formula ![a_{n} =a_{1} .(-2)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3Da_%7B1%7D%20.%28-2%29%5E%7Bn-1%7D)
Now using the above formula, we can find ![8^{th} term=4*(-2)^{8-1} =4*(-2)^{7}=-512.](https://tex.z-dn.net/?f=8%5E%7Bth%7D%20term%3D4%2A%28-2%29%5E%7B8-1%7D%20%3D4%2A%28-2%29%5E%7B7%7D%3D-512.)
6)Common ratio ![r=\frac{-8}{-2}=\frac{-32}{-8}=4\\](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-8%7D%7B-2%7D%3D%5Cfrac%7B-32%7D%7B-8%7D%3D4%5C%5C)
Explicit formula ![a_{n} =a_{1} .(4)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3Da_%7B1%7D%20.%284%29%5E%7Bn-1%7D)
Now using the above formula, we can find ![8^{th} term=-2*(4)^{8-1} =-2*(4)^{7}=-32768.](https://tex.z-dn.net/?f=8%5E%7Bth%7D%20term%3D-2%2A%284%29%5E%7B8-1%7D%20%3D-2%2A%284%29%5E%7B7%7D%3D-32768.)
<h3>
Answer:</h3>
4.5% annually
<h3>
Step-by-step explanation:</h3>
Simple interest is the amount of interest added to a singular sum of money at a fixed rate.
Formula
The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.
Calculations
To find the rate, plug the information we know into the formula above
Divide both sides by 100
Subtract 1 from both sides
Divide both sides by 5
This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.
Answer:
They used 3.14 for pi:
![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
![V=\frac{4}{3} (3.14)(5)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%283.14%29%285%29%5E3)
Step-by-step explanation:
is the volume of a sphere with radius r.
I think that is the diameter given in the picture.
The radius is half the diameter.
So the radius is 5 since the diameter is 10.
Plug in this gives you:
![V=\frac{4}{3} \pi (5)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%285%29%5E3)