The fourth term in an arithmetic sequence is 18 and the seventh term is 42. if the first term is a1, which is an equation for the nth term of this sequence?
1. an = 8n + 10
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆ 2. an = 8n − 14
3. an = 16n + 10
4. an = 16n − 38
<h3>Why isn’t a good idea to study in bed?</h3>
Answer: Working or doing homework in bed will reduce one's focus because most people tend to associate their beds with comfort and sleep. Doing such activities in bed can lead to a deviation of the brain to become more lazy and possibly fall asleep.
Part A)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

Part B)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:
If the ratio is 1:18, and we need to know how the other side for the ration 9:?, then we have to multiply 9x18.
9x18=162
so Laurel and Delmar are 162 km away
hope it helps! :3
Answer:

Step-by-step explanation:
The figure is a cube
The surface area of a cube is equal to

where
b is the length side of the cube
In this problem we have
substitute
