Answer:
Relationship is :linear
Rate of change : 3
Y-intercept : (0,1)
Equation that models the data : y=3x+1
Step-by-step explanation:
Answer:
x=3, y=-1
Step-by-step explanation:
Answer:
The function will be: f(n) = 2n
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between consecutive terms is same
The sequence according to given information is:
2,4,6...
Here
a_1 = 2
a_2 = 4
a_3 = 6
the common difference will be:
![d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2](https://tex.z-dn.net/?f=d%20%3D%20a_2-a_1%20%3D%204-2%20%3D%202%5C%5Cd%20%3D%20a_3-a_2%20%3D%206-4%20%3D%202)
The arithmetic sequence is given by:
![a_n = a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%2B%28n-1%29d)
Putting the values
![a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n](https://tex.z-dn.net/?f=a_n%20%3D%202%2B%28n-1%29%282%29%5C%5Ca_n%20%3D%202%2B2n-2%5C%5Ca_n%20%3D%202n)
Hence,
The function will be: f(n) = 2n
see picture for correct answer