Slope is (change in y)/(change in x). If you have a slope of -2/3 the change in y is -2 and the change in x is 3. Find the point (-2, 1) on the xy plane. Change the y component by -2 (move down 2 grid lines) then change the x component by 3 (move to the right 3 grid lines). If you repeat this process in both directions then draw a line through the points you'll have a line with slope -2/3 which passes through the point (-2, 1). The equation of this line is: y=-2/3x-1/3
Answer:
![a_n=\frac{-1}{2}a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B-1%7D%7B2%7Da_%7Bn-1%7D)
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
Step-by-step explanation:
The recursive rule is a term defined in terms of other terms in the sequence.
The is a geometric sequence because it has a common ratio.
The common ratio can be found by dividing a term by previous term.
For example, all of these are equal:
![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
![\frac{\frac{1}{2}}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B-1%7D)
![\frac{\frac{-1}{4}}{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B-1%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D)
They are all equal to
.
So we are saying:
![\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bterm%7D%7D%7B%5Ctext%7Bprevious%20term%7D%7D%7D%3D%5Cfrac%7B-1%7D%7B2%7D)
More formally:
.
Multiply both sides by
:
![a_n=\frac{-1}{2}a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B-1%7D%7B2%7Da_%7Bn-1%7D)
When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).
So the first term is 2.
So the full thing for the answer is:
![a_n=\frac{-1}{2}a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B-1%7D%7B2%7Da_%7Bn-1%7D)
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
Answer:
Press shift while you drag a corner handle to prevent stretching and keep your picture in proportion. Don't drag from any of the side handles; this will distort the picture even if you do press Shift!
Step-by-step explanation:
Answer:
The answer is 77.7777 or 77.8 if to round to tenth.
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
7x3=21
21/3=7
you just have to use inverse operations
(: hope this helps