Answer:
a:vertex angle
Step-by-step explanation:
it is vertex angle
1,2,3,5,6,10,15,30 because by looking at the number at the ones place, when it is 0 or an odd number, it could be divided by 2. When the places are added together and when it is divisible by 3, it is the factor of 3. Also, when there are 2 and 3 as a factor, it is also divisible by 6.
What is the table and the box? I dont think it’s possible to answer without seeing the table.
Answer:
![a_8=-128x^8-384x^7](https://tex.z-dn.net/?f=a_8%3D-128x%5E8-384x%5E7)
Step-by-step explanation:
The terms of the sequence are:
![x+3,-2x^2-6x,4x^3+12x^2,...](https://tex.z-dn.net/?f=x%2B3%2C-2x%5E2-6x%2C4x%5E3%2B12x%5E2%2C...)
We can rewrite the terms in factored form to get;
![x+3,-2x(x+3),4x^2(x+3),...](https://tex.z-dn.net/?f=x%2B3%2C-2x%28x%2B3%29%2C4x%5E2%28x%2B3%29%2C...)
We can see that the subsequent terms are obtained by multiplying the previous term by
. This is called the common ratio.
Therefore the first term of this geometric sequence is
and the common ratio is
.
The nth term of a geometric sequence is given by:
.
Let us substitute the first term, the common ratio, and
to obtain:
![a_8=(x+3)(-2x)^{8-1}](https://tex.z-dn.net/?f=a_8%3D%28x%2B3%29%28-2x%29%5E%7B8-1%7D)
![a_8=(x+3)(-2x)^{7}](https://tex.z-dn.net/?f=a_8%3D%28x%2B3%29%28-2x%29%5E%7B7%7D)
![a_8=-128x^7(x+3)](https://tex.z-dn.net/?f=a_8%3D-128x%5E7%28x%2B3%29)
![a_8=-128x^8-384x^7](https://tex.z-dn.net/?f=a_8%3D-128x%5E8-384x%5E7)
The answer is that x is equal to 2 and y is equal to 1