Learn Arithmetic Progression with Free Lessons & Tips

To show that the above equation

To find the common difference (d) of an arithmetic progression (AP), you can use the formula:

To find out how many terms of the arithmetic progression 45,39,33,…45,39,33,… must be taken so that their sum is 180180, we can use the formula for the sum of the first nn terms of an arithmetic progression:

In an arithmetic progression

Let's denote the four consecutive numbers in the arithmetic progression

The difference between any two terms in an arithmetic progression (AP) is constant and equal to the common difference (d).

In this arithmetic progression, the common difference is

Let's denote the sum of the first nn terms of the first arithmetic progression

Let's denote the first term of the arithmetic progression (AP) as a and the common difference as d