﻿ Definition and examples arithmetic sequence | define arithmetic sequence - algebra - Free Math Dictionary Online

# Arithmetic Sequence

## Definition of Arithmetic Sequence

Arithmetic sequence is a sequence of numbers that has a constant difference between every two consecutive terms.

In other words, arithmetic sequence is a sequence of numbers in which each term except the first term is the result of adding the same number, called the common difference, to the preceding term.

### Examples of Arithmetic Sequence

The sequence 5, 11, 17, 23, 29, 35 . . . is an arithmetic sequence, because the same number 6 (i.e. the common difference) is added to each term of the sequence to get the succeeding term.

Arithmetic series is the indicated sum of the terms of an arithmetic sequence.

### Example of Arithmetic Series

The sequence 5, 11, 17, 23, 29, 35 is an arithmetic sequence.
5 + 11 + 17 + 23 + 29 + 35 is the corresponding arithmetic series.

### Solved Example on Arithmetic Sequence

#### Ques: Find the next four terms of the given arithmetic sequence. 7, 4, 1, - 2, - 5 . . .

##### Choices:
A. - 3, - 3, - 3, - 3
B. - 8, -5, -2, 1
C. - 8, - 11, - 14, - 17
D. 8, 11, 14, 17