# How do you find the next four terms of the arithmetic sequence 9, 16, 23, ...?

##### 2 Answers

See the explanation below.

#### Explanation:

In this arithmetic sequence, the common difference

In order to find the next four terms, keep adding 7 to the previous term.

23 + 7 = 30

30 + 7 = 37

37 + 7 = 44

44 + 7 = 51

The next four terms are 30, 37, 44, and 51.

From the reference Arithmetic Progression we obtain the following equation:

where

From the sequence we observe that

This equation allows us to compute the next 4 terms: