Answer:
33,35,37
The largest of these numbers is 37.
Step-by-step explanation:
U have a geometric sequence. To find the common ratio, divide the second term by the first term. 6/12 = 1/2
an = a1 * r^(n-1)
n = term to find = 10
a1 = first term = 12
r = common ratio = 1/2
now we sub
a(10) = 12 * 1/2(10 - 1)
a(10) = 12 * 1/2^9
a(10) = 12 * 1/512
a(10) = 12/512 reduces to 3/128 ,<== ur 10th term
<u><em>Answer:</em></u>
slope = ![\frac{-7}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B4%7D%20%20)
<u><em>Explanation:</em></u>
<u>The general form of the linear line is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>The given equation is:</u>
7x + 4y = 20
<u>We will start by putting the equation in the general form:</u>
7x + 4y = 20
4y = -7x + 20
![\frac{4y}{4} = \frac{-7x}{4} + \frac{20}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4y%7D%7B4%7D%20%3D%20%5Cfrac%7B-7x%7D%7B4%7D%20%2B%20%5Cfrac%7B20%7D%7B4%7D%20%20)
y = ![\frac{-7}{4} x + 5](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B4%7D%20x%20%2B%205%20)
<u>Now, comparing our equation with the general form, we would find that:</u>
m = slope = ![\frac{-7}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B4%7D%20%20)
c = y-intercept = 5
Hope this helps :)