# How do you write a rule for the nth term of the arithmetic sequence given #a_6=13, a_14=25#?

##### 1 Answer

Apr 19, 2018

#### Answer:

#### Explanation:

The nth term of an arithmetic sequence is given as:

Where

We need to find the first term and the common difference:

Solving simultaneously:

Subtract

Substituting this in

For nth term: