An arithmetic sequence (a_n) is as follows:

where

is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is

in our particular case d=5, the third term is 8, so we have:

and the general term is

,
Answer: first term is -2, n'th term is -2+5(n-1)
Answer:
Step-by-step explanation:
A straight line that has one independent variable and one dependant variable.
Find the slope first by doing (6+2)/(4-3)=8/1 or just 8. Next use a set of coordinates into the equation so 6=8(4)+b then solve so 6=32+b next subtract 32 from both sides which would equal -24=b. Then plug it all into the equation so y=8x-24
We have

Plug in

:

⇒

So we now have

Plug in

:

⇒

⇒
![b=\sqrt[3]{\frac{95}{4}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B95%7D%7B4%7D%7D)
which is approximately 2.874
So we get
![y=4(\sqrt[3]{\frac{95}{4}})^{x}](https://tex.z-dn.net/?f=y%3D4%28%5Csqrt%5B3%5D%7B%5Cfrac%7B95%7D%7B4%7D%7D%29%5E%7Bx%7D)
or, in decimal form,