Arithmetic Progressions

An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant.
Example: 3, 6, 9, 12, 15…. is an arithmetic progression.

  • Each number in the sequence is known as term.
  • The fixed number i.e. the difference between each term with its preceding term is known as common difference. It can be positive, negative or zero. It is represented as ‘d’.

Example

Given sequence is 3, 6, 9, 12, 15,…

Here, a = 3 and d = 3

d = 6 - 3 = 9 - 6 = 12 - 9 = 3

First term is a = 3

Second term is a + d = 3 + 3 = 6

Third term is a + 2d = 3 + 6 = 9 and so on.

Scroll to Top