# How do you find the sum of the arithmetic series 2 + 5 + 8 + ... + 56?

##### 1 Answer

#### Answer:

#### Explanation:

The sum of an arithmetic series is

Where n is the number of terms

a_1 is the first term and

a_n is the last tern or the nth term

but in the given problem the nth term is not given , but we can determine its term by using the formula

Where d is the common difference

Given :

By substituting to the equation

So we already have the number of terms.

Now solving for the sum of the arithmetic sequence using the formula

using the givens we have , substitute to the sum formula