Answer:
A. 21
Step-by-step explanation:
To find range you just take the highest number and subtracted by the lowest
Ratio between is 52 but I'm not sure
Answer:
alright so 1 and 2 are equal to each other because there congruent angles. When angkes are congruent to each other or in other words the opposite to each other there equal.
Answer:
![a_{3} = 405](https://tex.z-dn.net/?f=a_%7B3%7D%20%3D%20405)
Step-by-step explanation:
A geometric sequence is based on the following equation:
![a_{n+1} = ra_{n}](https://tex.z-dn.net/?f=a_%7Bn%2B1%7D%20%3D%20ra_%7Bn%7D)
In which r is the common ratio.
This can be expanded for the nth term in the following way:
![a_{n} = a_{1}r^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7Dr%5E%7Bn-1%7D)
In which
is the first term.
In this question:
![a_{1} = 3645, a_{6} = 15](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%203645%2C%20a_%7B6%7D%20%3D%2015)
Applying the equation:
![a_{6} = a_{1}r^{6-1}](https://tex.z-dn.net/?f=a_%7B6%7D%20%3D%20a_%7B1%7Dr%5E%7B6-1%7D)
![a_{6} = a_{1}r^{5}](https://tex.z-dn.net/?f=a_%7B6%7D%20%3D%20a_%7B1%7Dr%5E%7B5%7D)
![3645r^{5} = 15](https://tex.z-dn.net/?f=3645r%5E%7B5%7D%20%3D%2015)
![r^{5} = \frac{15}{3645}](https://tex.z-dn.net/?f=r%5E%7B5%7D%20%3D%20%5Cfrac%7B15%7D%7B3645%7D)
![r^{5} = \frac{1}{243}](https://tex.z-dn.net/?f=r%5E%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7B243%7D)
![r = \sqrt[5]{\frac{1}{243}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B1%7D%7B243%7D%7D)
![r = \frac{1}{3}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
So
![a_{n} = 3645 \times (\frac{1}{3})^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%203645%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7Bn-1%7D)
![a_{3} = 3645 \times (\frac{1}{3})^{3-1} = 405](https://tex.z-dn.net/?f=a_%7B3%7D%20%3D%203645%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B3-1%7D%20%3D%20405)
9 inches
18 inches is half a yard
9 inches is half of that
Hope this helps