# How do you write a rule for the nth term of the arithmetic sequence #a_10=2, a_22=-8.8#?

##### 1 Answer

Jul 14, 2018

#### Explanation:

The

where

We know that

To find the general rule, we have to solve this system of linear equation. It is fairly easy; substract the first equation from the second:

Now substitute

Hence the general rule of the

Which is equivalent to