Answer
Red is 6
Orange is 4
Purple is 3
Green and Turquoise are both 2
Step-by-step explanation:
Hope this was helpful!!
Answer:
The sum is approximately 42.56
Step-by-step explanation:
Notice that you are dealing with a series whose first term is :
![3 \, (\frac{3}{2})^0 = 3\,*\,1=3](https://tex.z-dn.net/?f=3%20%5C%2C%20%28%5Cfrac%7B3%7D%7B2%7D%29%5E0%20%3D%203%5C%2C%2A%5C%2C1%3D3)
followed by sum of terms of the form:
![a_1=3\,(\frac{3}{2} )^1\\a_2=3\,(\frac{3}{2} )^2\\a_3=3\,(\frac{3}{2} )^3\\a_4=3\,(\frac{3}{2} )^4\\a_5=3\,(\frac{3}{2} )^5](https://tex.z-dn.net/?f=a_1%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E1%5C%5Ca_2%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%5C%5Ca_3%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E3%5C%5Ca_4%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E4%5C%5Ca_5%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E5)
and this is a geometric sequence of common ratio given by:
(the value you need to multiply one term of the geometric sequence in order to find the following one)
Then, we can use the general formula for a partial sum of a geometric sequence for these last 5 terms for which m=5, the common ratio r =
, and
= 3:
![S_m=a(r^m-1)/(r-1)\\S_5=3 ((\frac{3}{2})^5 -1)/(\frac{3}{2}-1)\\S_5=39.5625](https://tex.z-dn.net/?f=S_m%3Da%28r%5Em-1%29%2F%28r-1%29%5C%5CS_5%3D3%20%28%28%5Cfrac%7B3%7D%7B2%7D%29%5E5%20-1%29%2F%28%5Cfrac%7B3%7D%7B2%7D-1%29%5C%5CS_5%3D39.5625)
So, the total sum of the six terms is:
Total sum = 3 +39.5625 = 42.5625
which can be rounded to hundredth: 42.56
480 because 475 is closer to 480 then 470.
Answer:
4x
Step-by-step explanation:
The Factors of 12
1,12, 2,6 3,4
16
1,16 2,8 4,4
8
1,8 ,2,4
The highest factor they share is 4 so it would be the GCF. Then you would have to add the x back into the GCF
Hope It helped