Answer:
Of(7) = f(1) + 24
Step-by-step explanation:
Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):
![\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\](https://tex.z-dn.net/?f=%5Cleft.%5Cbegin%7Bmatrix%7Dn%20%261%262%263%264%265%266%20%267%5C%5Cf%28n%29%262%266%2610%20%26%2014%2618%2622%2626%20%5Cend%7Bmatrix%7D%5Cright%7C%5C%5Cf%28n%29%3Df%28n-1%29%2Bd%5C%3A%5C%3A%20%28Recursive%20%5C%3A%20Formula%29%5CRightarrow%20a_%7Bn%7D%3Da_%7Bn-1%7D%2B4%5C%3A%20%5C%3A%20%5C%3A%20%28Arithmetic%5C%3A%20Formula%29%5C%5COf%287%29%3Df%281%29%2B6%2A4%5CRightarrow%20a_%7B7%7D%3Da_%7B1%7D%2B%287-1%294%5CRightarrow%20a_%7B7%7D%3Da_%7B1%7D%2B24%5C%5C)
Answer:
![y=\frac{3}{4}x+-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx%2B-2)
Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is
where we substitute a point (x,y) for
.
We have m=3/4 and (4, 1). We input m and
.
![y-1=\frac{3}{4} (x-4)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B3%7D%7B4%7D%20%28x-4%29)
We now simplify the parenthesis and solve for y.
![y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B3%7D%7B4%7D%20%28x-4%29%5C%5Cy-1%3D%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B3%7D%7B4%7D%20%28-4%29)
We convert -4 into a fraction with 1 as the denominator.
![y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B3%7D%7B4%7D%20%28%5Cfrac%7B-4%7D%7B1%7D%20%29%5C%5Cy-1%3D%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B-12%7D%7B4%7D%5C%5Cy-1%3D%5Cfrac%7B3%7D%7B4%7Dx%2B-3)
We add 1 to both sides to isolate y,
![y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2](https://tex.z-dn.net/?f=y-1%2B1%3D%5Cfrac%7B3%7D%7B4%7Dx%2B-3%2B1%5C%5Cy%3D%5Cfrac%7B3%7D%7B4%7Dx%2B-2)
This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.
Answer:
7/0
Step-by-step explanation:
This is because if a number is divided by 0 then there is no answer or it is undefined
Think of it like this,
You have 7 apples and wanted to give it to zero friends, is it possible?
Hope this helped :)
Yes it is 4 billion milimeters is 4 kilometers