Answer:
DH
Step-by-step explanation:
As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
Surface area of the the rectangles:
8 * 5 + 8 * 4 + 8 * 3 = 96
Surface area of the two triangles:
Use bh/2 base time height over 2
(4 * 3)/2 = 6
There are 2 triangles, 2 * 6 = 12
12 + 96 = 108
![x^ \frac{m}{n}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7Bm%7D%7Bn%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
![5^ \frac{2}{5}= \sqrt[5]{5^2}= \sqrt[5]{25}](https://tex.z-dn.net/?f=5%5E%20%5Cfrac%7B2%7D%7B5%7D%3D%20%5Csqrt%5B5%5D%7B5%5E2%7D%3D%20%5Csqrt%5B5%5D%7B25%7D%20%20)