Find the slope of the line using the equation (y1-y2)/(x1-x2), which is change in rise over change in run. use any two points, for example (2,-2) and (3,-1). using the formula, (-2-(-1))/(2-3) is the rate of change, giving you -1/-1 as the slope, which is -1. the rate of change is -1.
Answer: 15 1/2
Step-by-step explanation: There are two 1/2 s so 1/2 + 1/2 is 2/2 or 1 whole. Next is 1. There are 4 ones. 1+1+1+1 = 4. There is one 1 1/2. There are two 2. 2+2 is 4. There are two 2 1/2 so 2 1/2 + 2 1/2 is 4 2/2 which is 5. Now you have to add all the answers together. 1 +4+ 1 1/2 +4+5 which is 15 and 1/2. 15 1/2 is the answer.
Answer:3
Step-by-step explanation:
There is a common difference between terms of 5, which means the sequence is given recursively by
![\begin{cases}a_1=-7\\a_n=a_{n-1}+5&\text{for }n>1\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Da_1%3D-7%5C%5Ca_n%3Da_%7Bn-1%7D%2B5%26%5Ctext%7Bfor%20%7Dn%3E1%5Cend%7Bcases%7D)
and explicitly by
![a_n=-7+5(n-1)=5n-12](https://tex.z-dn.net/?f=a_n%3D-7%2B5%28n-1%29%3D5n-12)
This means the 133rd term in the sequence is