Arithmetic Progression - Definition, Formula and Solved Examples, nth term

Jul 25, 2022, 16:45 IST

Definition of Arithmetic Progression

Sequence: A sequence is an arrangement of number in a definite order, according to a definite rule.

Terms: Various numbers occurring in a sequence are called terms or element.

Consider the following lists of number:

3, 6, 9, 12, ……………

4, 8, 12, 16, ……………

-3, -2, -1, 0, ……………

In all the list above, we observe that each successive terms are obtained by adding a fixed number to the preceding terms. Such list of numbers is said to form on Arithmetic Progression (AP).

Arithmetic Progression: An arithmetic progression is a list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term.

This fixed number is called the common difference (d) of the A.P.

Common difference can be positive, negative or zero.