# How do you write a rule for the nth term of the arithmetic sequence given #a_8=12#, #a_15=61#?

##### 1 Answer

Aug 19, 2016

The rule for this A.P. is

#### Explanation:

To write a rue for an AP, we need to have the value for the first term,

Every term can be written in the general form of an AP,

In the terms we have been given we only know the values of

Make 2 equations:

Substitute 70 for d in A

The rule for this A.P. is