Arithmetic Progression

Definition of Arithmetic Progression
An Arithmetic Progression (sequence) is a sequence of numbers such that the difference between the current term and the previous term is the same for any two consecutive terms. The constant value of the difference between the current and the previous consecutive terms of the arithmetic progression is called the common difference of the arithmetic progression.

Rules of Arithmetic Progression

 

Notation of Arithmetic Progression

Here are the examples with solutions :

Example 1

Consider the sequence of numbers

Example 2

Consider the sequence of numbers

General Term

In General, we could write an arithmetic sequence like this :

Example 3

Solution :

Example 4                                       

Solution :

Sum of an Arithmetic Progression

Example 5

Solution :

Example 6

Solution :

References :

• http://www.mathportal.org/algebra/progressions/arithmetic-progressions.php
• https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html