**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.

**Example 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.

**More about Arithmetic Sequence**

- 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**

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

Correct Answer: C

Solution:

Step 1:The common difference for the given sequence is – 3.

Step 2:So, the next four terms are – 8, - 11, - 14, - 17.

**Related Terms for Arithmetic Sequence**

- Sequence
- Term
- Common Difference
- Arithmetic Series