Arithmetic Sequence Examples
Here are some examples of arithmetic sequences,
Example 1: Sequence of even number having difference 4 i.e., 2, 6, 10, 14, . . . ,
Here in the above example, the first term of the sequence is a1=2 and the common difference is 4 = 6 -2.
Example 2: -3, 0, 3, 6, 9, 12, . . .
In this sequence, the common difference is 3. Each term is obtained by adding 3 to the preceding term.
Example 3: 100, 90, 80, 70, 60, …
In this sequence, the common difference is -10. Each term is obtained by subtracting 10 from the preceding term.
Arithmetic Sequence
Arithmetic Sequence is a type of sequence out of all sequences where each term of the sequence is related to the previous term of the sequence by a linear relation. A sequence is a collection of objects where all the terms follow an order or pattern by which the whole sequence can be identified. In the case of an Arithmetic Sequence, each term can be found by adding a constant to the preceding term of the Arithmetic Sequence, this constant sets the Arithmetic Sequence apart from the other sequences.
In this article, we will explore the concept of Arithmetic Sequence and various formulas associated with it. We will also learn about the various properties of Arithmetic Sequences.
Table of Content
- What is Arithmetic Sequence?
- Arithmetic Sequence Definition
- Arithmetic Sequence Examples
- Arithmetic Sequence Formula
- Nth Term of Arithmetic Sequence
- Recursive Formula for Arithmetic Sequence
- Sum of terms in Arithmetic Sequence
- Arithmetic Series
- Properties of Arithmetic Sequence
- Arithmetic Sequence and Geometric Sequence
- Sample Problems on Arithmetic Sequence
- Arithmetic Sequence Worksheet